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4260029040 = 2432537159911
BaseRepresentation
bin1111110111101010…
…1110001001110000
3101222212222220020100
43331322232021300
532211031412130
61542415112400
7210365435511
oct37572561160
911885886210
104260029040
111896747963
129aa812700
1352b765c57
142c5ac0a08
1519dedac60
hexfdeae270

4260029040 has 120 divisors (see below), whose sum is σ = 14693354208. Its totient is φ = 1105297920.

The previous prime is 4260029023. The next prime is 4260029069. The reversal of 4260029040 is 409200624.

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 = 4260028995 and 4260029013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53316 + ... + 106595.

Almost surely, 24260029040 is an apocalyptic number.

4260029040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4260029040 is an abundant number, since it is smaller than the sum of its proper divisors (10433325168).

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

4260029040 is a wasteful number, since it uses less digits than its factorization.

4260029040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159967 (or 159958 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4260029040 is about 65268.8979530067. The cubic root of 4260029040 is about 1621.0790250812.

Adding to 4260029040 its reverse (409200624), we get a palindrome (4669229664).

The spelling of 4260029040 in words is "four billion, two hundred sixty million, twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 159911 319822 479733 639644 799555 959466 1279288 1439199 1599110 1918932 2398665 2558576 2878398 3198220 3837864 4797330 5756796 5916707 6396440 7195995 7675728 9594660 11513592 11833414 12792880 14391990 17750121 19189320 23027184 23666828 28783980 29583535 35500242 38378640 47333656 53250363 57567960 59167070 71000484 88750605 94667312 106500726 115135920 118334140 142000968 177501210 213001452 236668280 266251815 284001936 355002420 426002904 473336560 532503630 710004840 852005808 1065007260 1420009680 2130014520 4260029040