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100898960 = 2451279931
BaseRepresentation
bin1100000001110…
…01100010010000
321000212012100112
412000321202100
5201312231320
614002340452
72333425031
oct600714220
9230765315
10100898960
1151a55978
122995a728
1317b99a36
14d586a88
158cd0ec5
hex6039890

100898960 has 40 divisors (see below), whose sum is σ = 236461056. Its totient is φ = 40037760.

The previous prime is 100898957. The next prime is 100898981. The reversal of 100898960 is 69898001.

It is a tau number, because it is divible by the number of its divisors (40).

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, 5195 + ... + 15125.

Almost surely, 2100898960 is an apocalyptic number.

100898960 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 100898960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118230528).

100898960 is an abundant number, since it is smaller than the sum of its proper divisors (135562096).

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

100898960 is a wasteful number, since it uses less digits than its factorization.

100898960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10071 (or 10065 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 100898960 is about 10044.8474353770. The cubic root of 100898960 is about 465.5456038371.

The spelling of 100898960 in words is "one hundred million, eight hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 9931 10160 19862 39724 49655 79448 99310 158896 198620 397240 794480 1261237 2522474 5044948 6306185 10089896 12612370 20179792 25224740 50449480 100898960