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58472120 = 23571929379
BaseRepresentation
bin1101111100001…
…1011010111000
311002000200200002
43133003122320
5104432101440
65445132132
71310001440
oct337033270
9132020602
1058472120
1130007a73
12176ba048
13c1636b5
147aa1120
155200115
hex37c36b8

58472120 has 128 divisors (see below), whose sum is σ = 164160000. Its totient is φ = 18289152.

The previous prime is 58472119. The next prime is 58472123. The reversal of 58472120 is 2127485.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58472123) 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, 154091 + ... + 154469.

It is an arithmetic number, because the mean of its divisors is an integer number (1282500).

Almost surely, 258472120 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 58472120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82080000).

58472120 is an abundant number, since it is smaller than the sum of its proper divisors (105687880).

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

58472120 is a wasteful number, since it uses less digits than its factorization.

58472120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 58472120 is about 7646.7064805706. The cubic root of 58472120 is about 388.1351249343.

The spelling of 58472120 in words is "fifty-eight million, four hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 29 35 38 40 56 58 70 76 95 116 133 140 145 152 190 203 232 266 280 290 379 380 406 532 551 580 665 758 760 812 1015 1064 1102 1160 1330 1516 1624 1895 2030 2204 2653 2660 2755 3032 3790 3857 4060 4408 5306 5320 5510 7201 7580 7714 8120 10612 10991 11020 13265 14402 15160 15428 19285 21224 21982 22040 26530 28804 30856 36005 38570 43964 50407 53060 54955 57608 72010 76937 77140 87928 100814 106120 109910 144020 153874 154280 201628 208829 219820 252035 288040 307748 384685 403256 417658 439640 504070 615496 769370 835316 1008140 1044145 1461803 1538740 1670632 2016280 2088290 2923606 3077480 4176580 5847212 7309015 8353160 11694424 14618030 29236060 58472120