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58706240 = 265383479
BaseRepresentation
bin1101111111110…
…0100101000000
311002110120211012
43133330211000
5110012044430
65454140052
71311665135
oct337744500
9132416735
1058706240
113015795a
12177b1628
13c216128
147b2258c
155249695
hex37fc940

58706240 has 56 divisors (see below), whose sum is σ = 140451840. Its totient is φ = 23372288.

The previous prime is 58706213. The next prime is 58706251. The reversal of 58706240 is 4260785.

It is a super-2 number, since 2×587062402 = 6892845229875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 58706197 and 58706206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122321 + ... + 122799.

Almost surely, 258706240 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 58706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70225920).

58706240 is an abundant number, since it is smaller than the sum of its proper divisors (81745600).

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

58706240 is a wasteful number, since it uses less digits than its factorization.

58706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 58706240 is about 7661.9997389715. Note that the first 3 decimals coincide. The cubic root of 58706240 is about 388.6524608562.

58706240 divided by its sum of digits (32) gives a triangular number (1834570 = T1915).

The spelling of 58706240 in words is "fifty-eight million, seven hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 383 479 766 958 1532 1915 1916 2395 3064 3830 3832 4790 6128 7660 7664 9580 12256 15320 15328 19160 24512 30640 30656 38320 61280 76640 122560 153280 183457 366914 733828 917285 1467656 1834570 2935312 3669140 5870624 7338280 11741248 14676560 29353120 58706240