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130692720 = 2435631863
BaseRepresentation
bin1111100101000…
…11011001110000
3100002220212201010
413302203121300
5231424131340
620545110520
73144604224
oct762433160
9302825633
10130692720
1167855414
1237928440
13210cbb92
1413500784
15b718b80
hex7ca3670

130692720 has 80 divisors (see below), whose sum is σ = 406259712. Its totient is φ = 34755840.

The previous prime is 130692701. The next prime is 130692791. The reversal of 130692720 is 27296031.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151009 + ... + 151871.

Almost surely, 2130692720 is an apocalyptic number.

130692720 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 130692720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203129856).

130692720 is an abundant number, since it is smaller than the sum of its proper divisors (275566992).

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

130692720 is a wasteful number, since it uses less digits than its factorization.

130692720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 130692720 is about 11432.0916721307. The cubic root of 130692720 is about 507.4778978783.

The spelling of 130692720 in words is "one hundred thirty million, six hundred ninety-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 631 863 1262 1726 1893 2524 2589 3155 3452 3786 4315 5048 5178 6310 6904 7572 8630 9465 10096 10356 12620 12945 13808 15144 17260 18930 20712 25240 25890 30288 34520 37860 41424 50480 51780 69040 75720 103560 151440 207120 544553 1089106 1633659 2178212 2722765 3267318 4356424 5445530 6534636 8168295 8712848 10891060 13069272 16336590 21782120 26138544 32673180 43564240 65346360 130692720