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59428980 = 2232513109233
BaseRepresentation
bin1110001010110…
…1000001110100
311010211022020100
43202231001310
5110203211410
65521434100
71321065222
oct342550164
9133738210
1059428980
1130600966
1217a9b930
13c40a0a0
147c6db12
15533d8c0
hex38ad074

59428980 has 144 divisors (see below), whose sum is σ = 196756560. Its totient is φ = 14432256.

The previous prime is 59428969. The next prime is 59428981. The reversal of 59428980 is 8982495.

It can be written as a sum of positive squares in 8 ways, for example, as 6022116 + 53406864 = 2454^2 + 7308^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59428981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254944 + ... + 255176.

It is an arithmetic number, because the mean of its divisors is an integer number (1366365).

Almost surely, 259428980 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 59428980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98378280).

59428980 is an abundant number, since it is smaller than the sum of its proper divisors (137327580).

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

59428980 is a wasteful number, since it uses less digits than its factorization.

59428980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 59428980 is about 7709.0193928930. The cubic root of 59428980 is about 390.2408768369.

The spelling of 59428980 in words is "fifty-nine million, four hundred twenty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 109 117 130 156 180 195 218 233 234 260 327 390 436 466 468 545 585 654 699 780 932 981 1090 1165 1170 1308 1398 1417 1635 1962 2097 2180 2330 2340 2796 2834 3029 3270 3495 3924 4194 4251 4660 4905 5668 6058 6540 6990 7085 8388 8502 9087 9810 10485 12116 12753 13980 14170 15145 17004 18174 19620 20970 21255 25397 25506 27261 28340 30290 36348 41940 42510 45435 50794 51012 54522 60580 63765 76191 85020 90870 101588 109044 126985 127530 136305 152382 181740 228573 253970 255060 272610 304764 330161 380955 457146 507940 545220 660322 761910 914292 990483 1142865 1320644 1523820 1650805 1980966 2285730 2971449 3301610 3961932 4571460 4952415 5942898 6603220 9904830 11885796 14857245 19809660 29714490 59428980