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100285332 = 223767103173
BaseRepresentation
bin1011111101000…
…11101110010100
320222201000121120
411332203232110
5201133112312
613541243540
72325261030
oct576435624
9228630546
10100285332
1151676944
12297035b0
1317a13644
14d4671c0
158c0e28c
hex5fa3b94

100285332 has 96 divisors (see below), whose sum is σ = 275638272. Its totient is φ = 27789696.

The previous prime is 100285327. The next prime is 100285333. The reversal of 100285332 is 233582001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100285333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579598 + ... + 579770.

It is an arithmetic number, because the mean of its divisors is an integer number (2871232).

Almost surely, 2100285332 is an apocalyptic number.

100285332 is a gapful number since it is divisible by the number (12) 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 100285332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137819136).

100285332 is an abundant number, since it is smaller than the sum of its proper divisors (175352940).

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

100285332 is a wasteful number, since it uses less digits than its factorization.

100285332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 100285332 is about 10014.2564376992. The cubic root of 100285332 is about 464.5999287540.

The spelling of 100285332 in words is "one hundred million, two hundred eighty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 103 134 173 201 206 268 309 346 402 412 469 519 618 692 721 804 938 1038 1211 1236 1407 1442 1876 2076 2163 2422 2814 2884 3633 4326 4844 5628 6901 7266 8652 11591 13802 14532 17819 20703 23182 27604 34773 35638 41406 46364 48307 53457 69546 71276 81137 82812 96614 106914 124733 139092 144921 162274 193228 213828 243411 249466 289842 324548 374199 486822 498932 579684 748398 973644 1193873 1496796 2387746 3581619 4775492 7163238 8357111 14326476 16714222 25071333 33428444 50142666 100285332