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130947040 = 2557432719
BaseRepresentation
bin1111100111000…
…01011111100000
3100010101210120101
413303201133200
5232010301130
620554352144
73150013540
oct763413740
9303353511
10130947040
1167a094a4
1237a2b654
132118a873
1413569320
15b7691ca
hex7ce17e0

130947040 has 96 divisors (see below), whose sum is σ = 361912320. Its totient is φ = 43835904.

The previous prime is 130947017. The next prime is 130947059. The reversal of 130947040 is 40749031.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 46801 + ... + 49519.

It is an arithmetic number, because the mean of its divisors is an integer number (3769920).

Almost surely, 2130947040 is an apocalyptic number.

130947040 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 130947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180956160).

130947040 is an abundant number, since it is smaller than the sum of its proper divisors (230965280).

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

130947040 is a wasteful number, since it uses less digits than its factorization.

130947040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 130947040 is about 11443.2093400409. The cubic root of 130947040 is about 507.8068581906.

The spelling of 130947040 in words is "one hundred thirty million, nine hundred forty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 70 80 86 112 140 160 172 215 224 280 301 344 430 560 602 688 860 1120 1204 1376 1505 1720 2408 2719 3010 3440 4816 5438 6020 6880 9632 10876 12040 13595 19033 21752 24080 27190 38066 43504 48160 54380 76132 87008 95165 108760 116917 152264 190330 217520 233834 304528 380660 435040 467668 584585 609056 761320 818419 935336 1169170 1522640 1636838 1870672 2338340 3045280 3273676 3741344 4092095 4676680 6547352 8184190 9353360 13094704 16368380 18706720 26189408 32736760 65473520 130947040