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130924710 = 23257712927
BaseRepresentation
bin1111100110111…
…00000010100110
3100010100122221100
413303130002212
5232004042320
620554100530
73146561460
oct763340246
9303318840
10130924710
11679a3744
1237a1a746
1321180657
1413561130
15b762790
hex7cdc0a6

130924710 has 96 divisors (see below), whose sum is σ = 394647552. Its totient is φ = 29494080.

The previous prime is 130924709. The next prime is 130924711. The reversal of 130924710 is 17429031.

It is an interprime number because it is at equal distance from previous prime (130924709) and next prime (130924711).

It is a super-3 number, since 3×1309247103 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130924711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43267 + ... + 46193.

It is an arithmetic number, because the mean of its divisors is an integer number (4110912).

Almost surely, 2130924710 is an apocalyptic number.

130924710 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 130924710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197323776).

130924710 is an abundant number, since it is smaller than the sum of its proper divisors (263722842).

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

130924710 is a wasteful number, since it uses less digits than its factorization.

130924710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 130924710 is about 11442.2336106199. The cubic root of 130924710 is about 507.7779916306. Note that the first 3 decimals are identical.

The spelling of 130924710 in words is "one hundred thirty million, nine hundred twenty-four thousand, seven hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 71 90 105 126 142 210 213 315 355 426 497 630 639 710 994 1065 1278 1491 2130 2485 2927 2982 3195 4473 4970 5854 6390 7455 8781 8946 14635 14910 17562 20489 22365 26343 29270 40978 43905 44730 52686 61467 87810 102445 122934 131715 184401 204890 207817 263430 307335 368802 415634 614670 623451 922005 1039085 1246902 1454719 1844010 1870353 2078170 2909438 3117255 3740706 4364157 6234510 7273595 8728314 9351765 13092471 14547190 18703530 21820785 26184942 43641570 65462355 130924710