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130573620 = 2235567401
BaseRepresentation
bin1111100100001…
…10010100110100
3100002200211100000
413302012110310
5231411323440
620542351300
73143600052
oct762062464
9302624300
10130573620
1167783991
123788b530
13210898c8
14134ad1d2
15b6e3730
hex7c86534

130573620 has 144 divisors (see below), whose sum is σ = 417912768. Its totient is φ = 34214400.

The previous prime is 130573579. The next prime is 130573633. The reversal of 130573620 is 26375031.

It is a happy number.

130573620 is a `hidden beast` number, since 1 + 30 + 5 + 7 + 3 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 325420 + ... + 325820.

It is an arithmetic number, because the mean of its divisors is an integer number (2902172).

Almost surely, 2130573620 is an apocalyptic number.

130573620 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 130573620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208956384).

130573620 is an abundant number, since it is smaller than the sum of its proper divisors (287339148).

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

130573620 is a wasteful number, since it uses less digits than its factorization.

130573620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 130573620 is about 11426.8814643366. The cubic root of 130573620 is about 507.3236965151.

The spelling of 130573620 in words is "one hundred thirty million, five hundred seventy-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 81 90 108 134 135 162 180 201 243 268 270 324 335 401 402 405 486 540 603 670 802 804 810 972 1005 1203 1206 1215 1340 1604 1620 1809 2005 2010 2406 2412 2430 3015 3609 3618 4010 4020 4812 4860 5427 6015 6030 7218 7236 8020 9045 10827 10854 12030 12060 14436 16281 18045 18090 21654 21708 24060 26867 27135 32481 32562 36090 36180 43308 53734 54135 54270 64962 65124 72180 80601 81405 97443 107468 108270 108540 129924 134335 161202 162405 162810 194886 216540 241803 268670 322404 324810 325620 389772 403005 483606 487215 537340 649620 725409 806010 967212 974430 1209015 1450818 1612020 1948860 2176227 2418030 2901636 3627045 4352454 4836060 6528681 7254090 8704908 10881135 13057362 14508180 21762270 26114724 32643405 43524540 65286810 130573620