Search a number
-
+
130917360 = 24357149523
BaseRepresentation
bin1111100110110…
…10001111110000
3100010100021212010
413303122033300
5232003323420
620554002520
73146531160
oct763321760
9303307763
10130917360
1167999172
1237a16440
132117a1c2
141355c5a0
15b7604e0
hex7cda3f0

130917360 has 160 divisors (see below), whose sum is σ = 467827200. Its totient is φ = 29666304.

The previous prime is 130917349. The next prime is 130917361. The reversal of 130917360 is 63719031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130917361) 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, 250059 + ... + 250581.

It is an arithmetic number, because the mean of its divisors is an integer number (2923920).

Almost surely, 2130917360 is an apocalyptic number.

130917360 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 130917360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233913600).

130917360 is an abundant number, since it is smaller than the sum of its proper divisors (336909840).

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

130917360 is a wasteful number, since it uses less digits than its factorization.

130917360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 130917360 is about 11441.9124275621. The cubic root of 130917360 is about 507.7684893803.

The spelling of 130917360 in words is "one hundred thirty million, nine hundred seventeen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 149 168 210 240 280 298 336 420 447 523 560 596 745 840 894 1043 1046 1192 1490 1569 1680 1788 2086 2092 2235 2384 2615 2980 3129 3138 3576 3661 4172 4184 4470 5215 5230 5960 6258 6276 7152 7322 7845 8344 8368 8940 10430 10460 10983 11920 12516 12552 14644 15645 15690 16688 17880 18305 20860 20920 21966 25032 25104 29288 31290 31380 35760 36610 41720 41840 43932 50064 54915 58576 62580 62760 73220 77927 83440 87864 109830 125160 125520 146440 155854 175728 219660 233781 250320 292880 311708 389635 439320 467562 545489 623416 779270 878640 935124 1090978 1168905 1246832 1558540 1636467 1870248 2181956 2337810 2727445 3117080 3272934 3740496 4363912 4675620 5454890 6234160 6545868 8182335 8727824 9351240 10909780 13091736 16364670 18702480 21819560 26183472 32729340 43639120 65458680 130917360