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130233120 = 25351811499
BaseRepresentation
bin1111100001100…
…11001100100000
3100002001112020220
413300303030200
5231314424440
620531203040
73140651253
oct760631440
9302045226
10130233120
1167571086
1237746480
1320c9a924
141342109a
15b6778d0
hex7c33320

130233120 has 96 divisors (see below), whose sum is σ = 412776000. Its totient is φ = 34513920.

The previous prime is 130233101. The next prime is 130233127. The reversal of 130233120 is 21332031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130233120.

It is not an unprimeable number, because it can be changed into a prime (130233127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86131 + ... + 87629.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2130233120 is an apocalyptic number.

130233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388000).

130233120 is an abundant number, since it is smaller than the sum of its proper divisors (282542880).

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

130233120 is a wasteful number, since it uses less digits than its factorization.

130233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 130233120 is about 11411.9726603248. The cubic root of 130233120 is about 506.8823258601.

Adding to 130233120 its reverse (21332031), we get a palindrome (151565151).

The spelling of 130233120 in words is "one hundred thirty million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 181 240 362 480 543 724 905 1086 1448 1499 1810 2172 2715 2896 2998 3620 4344 4497 5430 5792 5996 7240 7495 8688 8994 10860 11992 14480 14990 17376 17988 21720 22485 23984 28960 29980 35976 43440 44970 47968 59960 71952 86880 89940 119920 143904 179880 239840 271319 359760 542638 719520 813957 1085276 1356595 1627914 2170552 2713190 3255828 4069785 4341104 5426380 6511656 8139570 8682208 10852760 13023312 16279140 21705520 26046624 32558280 43411040 65116560 130233120