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100285240 = 235111132017
BaseRepresentation
bin1011111101000…
…11101100111000
320222201000111011
411332203230320
5201133111430
613541243304
72325260536
oct576435470
9228630434
10100285240
1151676870
1229703534
1317a135a3
14d467156
158c0e22a
hex5fa3b38

100285240 has 64 divisors (see below), whose sum is σ = 248456160. Its totient is φ = 36126720.

The previous prime is 100285231. The next prime is 100285243. The reversal of 100285240 is 42582001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100285243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48712 + ... + 50728.

Almost surely, 2100285240 is an apocalyptic number.

100285240 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 100285240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124228080).

100285240 is an abundant number, since it is smaller than the sum of its proper divisors (148170920).

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

100285240 is a wasteful number, since it uses less digits than its factorization.

100285240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 100285240 is about 10014.2518442468. The cubic root of 100285240 is about 464.5997866820.

The spelling of 100285240 in words is "one hundred million, two hundred eighty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 113 220 226 440 452 565 904 1130 1243 2017 2260 2486 4034 4520 4972 6215 8068 9944 10085 12430 16136 20170 22187 24860 40340 44374 49720 80680 88748 110935 177496 221870 227921 443740 455842 887480 911684 1139605 1823368 2279210 2507131 4558420 5014262 9116840 10028524 12535655 20057048 25071310 50142620 100285240