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100381440 = 283526141
BaseRepresentation
bin1011111101110…
…11001100000000
320222212220110010
411332323030000
5201144201230
613543304520
72326141155
oct576731400
9228786403
10100381440
1151732075
122974b140
1317a48303
14d49022c
158c2c9b0
hex5fbb300

100381440 has 72 divisors (see below), whose sum is σ = 320605488. Its totient is φ = 26767360.

The previous prime is 100381399. The next prime is 100381459. The reversal of 100381440 is 44183001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9231 + ... + 16910.

It is an arithmetic number, because the mean of its divisors is an integer number (4452854).

Almost surely, 2100381440 is an apocalyptic number.

100381440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100381440 is an abundant number, since it is smaller than the sum of its proper divisors (220224048).

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

100381440 is an equidigital number, since it uses as much as digits as its factorization.

100381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26165 (or 26151 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 100381440 is about 10019.0538475447. The cubic root of 100381440 is about 464.7482971236.

The spelling of 100381440 in words is "one hundred million, three hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 26141 52282 78423 104564 130705 156846 209128 261410 313692 392115 418256 522820 627384 784230 836512 1045640 1254768 1568460 1673024 2091280 2509536 3136920 3346048 4182560 5019072 6273840 6692096 8365120 10038144 12547680 16730240 20076288 25095360 33460480 50190720 100381440