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130477040 = 24517197487
BaseRepresentation
bin1111100011011…
…10101111110000
3100002111220211222
413301232233300
5231400231130
620540324212
73143015351
oct761565760
9302456758
10130477040
1167718371
1237843668
1321054965
1413485d28
15b6c4ce5
hex7c6ebf0

130477040 has 80 divisors (see below), whose sum is σ = 323497152. Its totient is φ = 48771072.

The previous prime is 130477013. The next prime is 130477049. The reversal of 130477040 is 40774031.

130477040 = T445 + T446 + ... + T954.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130477049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267677 + ... + 268163.

Almost surely, 2130477040 is an apocalyptic number.

130477040 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 130477040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161748576).

130477040 is an abundant number, since it is smaller than the sum of its proper divisors (193020112).

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

130477040 is a wasteful number, since it uses less digits than its factorization.

130477040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 130477040 is about 11422.6546826909. The cubic root of 130477040 is about 507.1985834231.

The spelling of 130477040 in words is "one hundred thirty million, four hundred seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 197 272 340 394 487 680 788 974 985 1360 1576 1948 1970 2435 3152 3349 3896 3940 4870 6698 7792 7880 8279 9740 13396 15760 16558 16745 19480 26792 33116 33490 38960 41395 53584 66232 66980 82790 95939 132464 133960 165580 191878 267920 331160 383756 479695 662320 767512 959390 1535024 1630963 1918780 3261926 3837560 6523852 7675120 8154815 13047704 16309630 26095408 32619260 65238520 130477040