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130180920 = 233523101467
BaseRepresentation
bin1111100001001…
…10011100111000
3100001221212122120
413300212130320
5231311242140
620530121240
73140343132
oct760463470
9301855576
10130180920
1167535941
1237720220
1320c7cc3c
141340a052
15b6671d0
hex7c26738

130180920 has 128 divisors (see below), whose sum is σ = 412439040. Its totient is φ = 32806400.

The previous prime is 130180903. The next prime is 130180937. The reversal of 130180920 is 29081031.

It is an interprime number because it is at equal distance from previous prime (130180903) and next prime (130180937).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278527 + ... + 278993.

It is an arithmetic number, because the mean of its divisors is an integer number (3222180).

Almost surely, 2130180920 is an apocalyptic number.

130180920 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 130180920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206219520).

130180920 is an abundant number, since it is smaller than the sum of its proper divisors (282258120).

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

130180920 is a wasteful number, since it uses less digits than its factorization.

130180920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 130180920 is about 11409.6853593778. The cubic root of 130180920 is about 506.8145940027.

The spelling of 130180920 in words is "one hundred thirty million, one hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 101 115 120 138 184 202 230 276 303 345 404 460 467 505 552 606 690 808 920 934 1010 1212 1380 1401 1515 1868 2020 2323 2335 2424 2760 2802 3030 3736 4040 4646 4670 5604 6060 6969 7005 9292 9340 10741 11208 11615 12120 13938 14010 18584 18680 21482 23230 27876 28020 32223 34845 42964 46460 47167 53705 55752 56040 64446 69690 85928 92920 94334 107410 128892 139380 141501 161115 188668 214820 235835 257784 278760 283002 322230 377336 429640 471670 566004 644460 707505 943340 1084841 1132008 1288920 1415010 1886680 2169682 2830020 3254523 4339364 5424205 5660040 6509046 8678728 10848410 13018092 16272615 21696820 26036184 32545230 43393640 65090460 130180920