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1420433040 = 2435131972311
BaseRepresentation
bin101010010101010…
…0001011010010000
310122222210110211010
41110222201122100
510402112324130
6352540450520
750125324125
oct12452413220
93588713733
101420433040
11669885404
12337849a40
13198384030
14d691074c
1584a7e0b0
hex54aa1690

1420433040 has 160 divisors (see below), whose sum is σ = 4768194816. Its totient is φ = 347719680.

The previous prime is 1420432999. The next prime is 1420433081. The reversal of 1420433040 is 403340241.

It is an interprime number because it is at equal distance from previous prime (1420432999) and next prime (1420433081).

It is a super-2 number, since 2×14204330402 = 4035260042247283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1420432998 and 1420433016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613485 + ... + 615795.

Almost surely, 21420433040 is an apocalyptic number.

1420433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384097408).

1420433040 is an abundant number, since it is smaller than the sum of its proper divisors (3347761776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1420433040 is a wasteful number, since it uses less digits than its factorization.

1420433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1420433040 is about 37688.6327690459. The cubic root of 1420433040 is about 1124.1051095754.

Adding to 1420433040 its reverse (403340241), we get a palindrome (1823773281).

The spelling of 1420433040 in words is "one billion, four hundred twenty million, four hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 197 208 240 260 312 390 394 520 591 624 780 788 985 1040 1182 1560 1576 1970 2311 2364 2561 2955 3120 3152 3940 4622 4728 5122 5910 6933 7683 7880 9244 9456 10244 11555 11820 12805 13866 15366 15760 18488 20488 23110 23640 25610 27732 30043 30732 34665 36976 38415 40976 46220 47280 51220 55464 60086 61464 69330 76830 90129 92440 102440 110928 120172 122928 138660 150215 153660 180258 184880 204880 240344 277320 300430 307320 360516 450645 455267 480688 554640 600860 614640 721032 901290 910534 1201720 1365801 1442064 1802580 1821068 2276335 2403440 2731602 3605160 3642136 4552670 5463204 5918471 6829005 7210320 7284272 9105340 10926408 11836942 13658010 17755413 18210680 21852816 23673884 27316020 29592355 35510826 36421360 47347768 54632040 59184710 71021652 88777065 94695536 109264080 118369420 142043304 177554130 236738840 284086608 355108260 473477680 710216520 1420433040