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111970820 = 225131273391
BaseRepresentation
bin1101010110010…
…00101000000100
321210200201002102
412223020220010
5212131031240
615035531232
72526510353
oct653105004
9253621072
10111970820
1158228375
12315b9b18
131a275430
1410c2999a
159c6b815
hex6ac8a04

111970820 has 48 divisors (see below), whose sum is σ = 255295488. Its totient is φ = 41005440.

The previous prime is 111970813. The next prime is 111970841. The reversal of 111970820 is 28079111.

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, 31325 + ... + 34715.

It is an arithmetic number, because the mean of its divisors is an integer number (5318656).

Almost surely, 2111970820 is an apocalyptic number.

111970820 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 111970820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127647744).

111970820 is an abundant number, since it is smaller than the sum of its proper divisors (143324668).

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

111970820 is a wasteful number, since it uses less digits than its factorization.

111970820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 29.

The square root of 111970820 is about 10581.6265290361. The cubic root of 111970820 is about 481.9865873233.

The spelling of 111970820 in words is "one hundred eleven million, nine hundred seventy thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 1270 1651 2540 3302 3391 6604 6782 8255 13564 16510 16955 33020 33910 44083 67820 88166 176332 220415 430657 440830 861314 881660 1722628 2153285 4306570 5598541 8613140 11197082 22394164 27992705 55985410 111970820