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100042360 = 23511271839
BaseRepresentation
bin1011111011010…
…00011001111000
320222020200022121
411331220121320
5201102323420
613532131024
72323226455
oct575503170
9228220277
10100042360
1151520340
1229606a74
1317959b82
14d40282c
158bb22aa
hex5f68678

100042360 has 64 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 36201600.

The previous prime is 100042343. The next prime is 100042409. The reversal of 100042360 is 63240001.

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, 118821 + ... + 119659.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2100042360 is an apocalyptic number.

100042360 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 100042360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

100042360 is an abundant number, since it is smaller than the sum of its proper divisors (146716040).

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

100042360 is a wasteful number, since it uses less digits than its factorization.

100042360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 100042360 is about 10002.1177757513. The cubic root of 100042360 is about 464.2244133436.

Adding to 100042360 its reverse (63240001), we get a palindrome (163282361).

The spelling of 100042360 in words is "one hundred million, forty-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 271 440 542 839 1084 1355 1678 2168 2710 2981 3356 4195 5420 5962 6712 8390 9229 10840 11924 14905 16780 18458 23848 29810 33560 36916 46145 59620 73832 92290 119240 184580 227369 369160 454738 909476 1136845 1818952 2273690 2501059 4547380 5002118 9094760 10004236 12505295 20008472 25010590 50021180 100042360