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130647552 = 293729419
BaseRepresentation
bin1111100100110…
…00011000000000
3100002211120202020
413302120120000
5231421210202
620544121440
73144325440
oct762303000
9302746666
10130647552
1167824492
1237906280
13210b4459
14134cc120
15b70a5bc
hex7c98600

130647552 has 160 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 35954688.

The previous prime is 130647541. The next prime is 130647557. The reversal of 130647552 is 255746031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130647557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311599 + ... + 312017.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2130647552 is an apocalyptic number.

130647552 is a gapful number since it is divisible by the number (12) 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 130647552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

130647552 is an abundant number, since it is smaller than the sum of its proper divisors (281826048).

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

130647552 is an equidigital number, since it uses as much as digits as its factorization.

130647552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 130647552 is about 11430.1160099100. The cubic root of 130647552 is about 507.4194289169.

The spelling of 130647552 in words is "one hundred thirty million, six hundred forty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 419 448 464 512 609 672 696 768 812 838 896 928 1218 1257 1344 1392 1536 1624 1676 1792 1856 2436 2514 2688 2784 2933 3248 3352 3584 3712 4872 5028 5376 5568 5866 6496 6704 7424 8799 9744 10056 10752 11136 11732 12151 12992 13408 14848 17598 19488 20112 22272 23464 24302 25984 26816 35196 36453 38976 40224 44544 46928 48604 51968 53632 70392 72906 77952 80448 85057 93856 97208 103936 107264 140784 145812 155904 160896 170114 187712 194416 214528 255171 281568 291624 311808 321792 340228 375424 388832 510342 563136 583248 643584 680456 750848 777664 1020684 1126272 1166496 1360912 1501696 1555328 2041368 2252544 2332992 2721824 3110656 4082736 4505088 4665984 5443648 6221312 8165472 9331968 10887296 16330944 18663936 21774592 32661888 43549184 65323776 130647552