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100555040 = 2551793511
BaseRepresentation
bin1011111111001…
…01100100100000
321000012201120202
411333211210200
5201220230130
613551124332
72330463245
oct577454440
9230181522
10100555040
1151840543
12298136a8
1317aa9331
14d4d75cc
158c64145
hex5fe5920

100555040 has 48 divisors (see below), whose sum is σ = 238956480. Its totient is φ = 39985920.

The previous prime is 100555031. The next prime is 100555061. The reversal of 100555040 is 40555001.

It is a super-2 number, since 2×1005550402 = 20222632138803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 26885 + ... + 30395.

It is an arithmetic number, because the mean of its divisors is an integer number (4978260).

Almost surely, 2100555040 is an apocalyptic number.

100555040 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 100555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119478240).

100555040 is an abundant number, since it is smaller than the sum of its proper divisors (138401440).

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

100555040 is a wasteful number, since it uses less digits than its factorization.

100555040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 100555040 is about 10027.7135978248. The cubic root of 100555040 is about 465.0160552517.

The spelling of 100555040 in words is "one hundred million, five hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 179 358 716 895 1432 1790 2864 3511 3580 5728 7022 7160 14044 14320 17555 28088 28640 35110 56176 70220 112352 140440 280880 561760 628469 1256938 2513876 3142345 5027752 6284690 10055504 12569380 20111008 25138760 50277520 100555040