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3137420 = 22511131097
BaseRepresentation
bin1011111101111110001100
312220101201202
423331332030
51300344140
6151125032
735444666
oct13757614
95811652
103137420
111853210
121073778
1385b080
145b9536
1541e915
hex2fdf8c

3137420 has 48 divisors (see below), whose sum is σ = 7747488. Its totient is φ = 1052160.

The previous prime is 3137399. The next prime is 3137447. The reversal of 3137420 is 247313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3137392 and 3137401.

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, 2312 + ... + 3408.

It is an arithmetic number, because the mean of its divisors is an integer number (161406).

Almost surely, 23137420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3137420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873744).

3137420 is an abundant number, since it is smaller than the sum of its proper divisors (4610068).

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

3137420 is a wasteful number, since it uses less digits than its factorization.

3137420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 3137420 is about 1771.2763759504. The cubic root of 3137420 is about 146.3943178142.

The spelling of 3137420 in words is "three million, one hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1097 1430 2194 2860 4388 5485 10970 12067 14261 21940 24134 28522 48268 57044 60335 71305 120670 142610 156871 241340 285220 313742 627484 784355 1568710 3137420