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130455640 = 23572101659
BaseRepresentation
bin1111100011010…
…01100001011000
3100002110211111101
413301221201120
5231344040030
620540041144
73142566100
oct761514130
9302424441
10130455640
1167703287
12378331b4
1321047cb3
141347c200
15b6bd7ca
hex7c69858

130455640 has 96 divisors (see below), whose sum is σ = 345351600. Its totient is φ = 44217600.

The previous prime is 130455629. The next prime is 130455641. The reversal of 130455640 is 46554031.

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

It is a junction number, because it is equal to n+sod(n) for n = 130455599 and 130455608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130455641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197631 + ... + 198289.

Almost surely, 2130455640 is an apocalyptic number.

130455640 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 130455640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172675800).

130455640 is an abundant number, since it is smaller than the sum of its proper divisors (214895960).

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

130455640 is a wasteful number, since it uses less digits than its factorization.

130455640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 130455640 is about 11421.7179093164. The cubic root of 130455640 is about 507.1708527635.

The spelling of 130455640 in words is "one hundred thirty million, four hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 101 140 196 202 245 280 392 404 490 505 659 707 808 980 1010 1318 1414 1960 2020 2636 2828 3295 3535 4040 4613 4949 5272 5656 6590 7070 9226 9898 13180 14140 18452 19796 23065 24745 26360 28280 32291 36904 39592 46130 49490 64582 66559 92260 98980 129164 133118 161455 184520 197960 258328 266236 322910 332795 465913 532472 645820 665590 931826 1291640 1331180 1863652 2329565 2662360 3261391 3727304 4659130 6522782 9318260 13045564 16306955 18636520 26091128 32613910 65227820 130455640