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129573990 = 232571321217
BaseRepresentation
bin1111011100100…
…10010001100110
3100000211001002200
413232102101212
5231132331430
620505115330
73132234510
oct756222146
9300731080
10129573990
1167160947
1237488b46
1320ac9900
14132ccbb0
15b597460
hex7b92466

129573990 has 144 divisors (see below), whose sum is σ = 417257568. Its totient is φ = 27316224.

The previous prime is 129573989. The next prime is 129573991. The reversal of 129573990 is 99375921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (129573989) and next prime (129573991).

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 (129573991) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105862 + ... + 107078.

It is an arithmetic number, because the mean of its divisors is an integer number (2897622).

Almost surely, 2129573990 is an apocalyptic number.

129573990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129573990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208628784).

129573990 is an abundant number, since it is smaller than the sum of its proper divisors (287683578).

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

129573990 is a wasteful number, since it uses less digits than its factorization.

129573990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 129573990 is about 11383.0571464787. The cubic root of 129573990 is about 506.0257424660.

The spelling of 129573990 in words is "one hundred twenty-nine million, five hundred seventy-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 169 182 195 210 234 273 315 338 390 455 507 546 585 630 819 845 910 1014 1170 1183 1217 1365 1521 1638 1690 2366 2434 2535 2730 3042 3549 3651 4095 5070 5915 6085 7098 7302 7605 8190 8519 10647 10953 11830 12170 15210 15821 17038 17745 18255 21294 21906 25557 31642 35490 36510 42595 47463 51114 53235 54765 76671 79105 85190 94926 106470 109530 110747 127785 142389 153342 158210 205673 221494 237315 255570 284778 332241 383355 411346 474630 553735 617019 664482 711945 766710 996723 1028365 1107470 1234038 1423890 1439711 1661205 1851057 1993446 2056730 2879422 3085095 3322410 3702114 4319133 4983615 6170190 7198555 8638266 9255285 9967230 12957399 14397110 18510570 21595665 25914798 43191330 64786995 129573990