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100452040 = 235132337227
BaseRepresentation
bin1011111110011…
…00011011001000
321000000111021221
411333030123020
5201203431130
613545011424
72326554043
oct577143310
9230014257
10100452040
1151780117
1229783b74
1317a714a0
14d4abc5a
158c4387a
hex5fcc6c8

100452040 has 128 divisors (see below), whose sum is σ = 261999360. Its totient is φ = 34366464.

The previous prime is 100451987. The next prime is 100452041. The reversal of 100452040 is 40254001.

It is a super-2 number, since 2×1004520402 = 20181224680323200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100452041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442407 + ... + 442633.

It is an arithmetic number, because the mean of its divisors is an integer number (2046870).

Almost surely, 2100452040 is an apocalyptic number.

100452040 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 100452040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130999680).

100452040 is an abundant number, since it is smaller than the sum of its proper divisors (161547320).

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

100452040 is a wasteful number, since it uses less digits than its factorization.

100452040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 100452040 is about 10022.5765150484. The cubic root of 100452040 is about 464.8572267575.

The spelling of 100452040 in words is "one hundred million, four hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 23 26 37 40 46 52 65 74 92 104 115 130 148 184 185 227 230 260 296 299 370 454 460 481 520 598 740 851 908 920 962 1135 1196 1480 1495 1702 1816 1924 2270 2392 2405 2951 2990 3404 3848 4255 4540 4810 5221 5902 5980 6808 8399 8510 9080 9620 10442 11063 11804 11960 14755 16798 17020 19240 20884 22126 23608 26105 29510 33596 34040 41768 41995 44252 52210 55315 59020 67192 67873 83990 88504 104420 109187 110630 118040 135746 167980 193177 208840 218374 221260 271492 335960 339365 386354 436748 442520 542984 545935 678730 772708 873496 965885 1091870 1357460 1545416 1931770 2183740 2511301 2714920 3863540 4367480 5022602 7727080 10045204 12556505 20090408 25113010 50226020 100452040