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1465421040 = 243252970183
BaseRepresentation
bin101011101011000…
…1000110011110000
310210010110002202100
41113112020303300
511000121433130
6401225020400
751212605356
oct12726106360
93703402670
101465421040
11692212576
1234a924700
131a47a6055
14dc8a17d6
15889b8c60
hex57588cf0

1465421040 has 120 divisors (see below), whose sum is σ = 5091147360. Its totient is φ = 377298432.

The previous prime is 1465421033. The next prime is 1465421051. The reversal of 1465421040 is 401245641.

1465421040 is a `hidden beast` number, since 1 + 4 + 654 + 2 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1465420995 and 1465421013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14212 + ... + 55971.

It is an arithmetic number, because the mean of its divisors is an integer number (42426228).

Almost surely, 21465421040 is an apocalyptic number.

1465421040 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 1465421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545573680).

1465421040 is an abundant number, since it is smaller than the sum of its proper divisors (3625726320).

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

1465421040 is a wasteful number, since it uses less digits than its factorization.

1465421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70231 (or 70222 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1465421040 is about 38280.8181730746. The cubic root of 1465421040 is about 1135.8495428257.

Adding to 1465421040 its reverse (401245641), we get a palindrome (1866666681).

The spelling of 1465421040 in words is "one billion, four hundred sixty-five million, four hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6960 10440 20880 70183 140366 210549 280732 350915 421098 561464 631647 701830 842196 1052745 1122928 1263294 1403660 1684392 2035307 2105490 2526588 2807320 3158235 3368784 4070614 4210980 5053176 5614640 6105921 6316470 8141228 8421960 10106352 10176535 12211842 12632940 16282456 16843920 18317763 20353070 24423684 25265880 30529605 32564912 36635526 40706140 48847368 50531760 61059210 73271052 81412280 91588815 97694736 122118420 146542104 162824560 183177630 244236840 293084208 366355260 488473680 732710520 1465421040