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100398260 = 22517714159
BaseRepresentation
bin1011111101111…
…11010010110100
320222220202112002
411332333102310
5201200221020
613543514432
72326241204
oct576772264
9228822462
10100398260
1151743776
1229758a18
1317a52b71
14d496404
158c32975
hex5fbf4b4

100398260 has 48 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 37255680.

The previous prime is 100398257. The next prime is 100398281. The reversal of 100398260 is 62893001.

It is a super-2 number, since 2×1003982602 = 20159621222055200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22061 + ... + 26219.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2100398260 is an apocalyptic number.

100398260 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 100398260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

100398260 is an abundant number, since it is smaller than the sum of its proper divisors (126038860).

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

100398260 is a wasteful number, since it uses less digits than its factorization.

100398260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 100398260 is about 10019.8932130038. The cubic root of 100398260 is about 464.7742535480.

The spelling of 100398260 in words is "one hundred million, three hundred ninety-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1420 2414 4159 4828 6035 8318 12070 16636 20795 24140 41590 70703 83180 141406 282812 295289 353515 590578 707030 1181156 1414060 1476445 2952890 5019913 5905780 10039826 20079652 25099565 50199130 100398260