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130376640 = 2635672027
BaseRepresentation
bin1111100010101…
…10001111000000
3100002022211010110
413301112033000
5231334023030
620534231320
73142116552
oct761261700
9302284113
10130376640
1167659999
12377b5540
132101b054
141345b4d2
15b6a51b0
hex7c563c0

130376640 has 112 divisors (see below), whose sum is σ = 420331392. Its totient is φ = 34231296.

The previous prime is 130376629. The next prime is 130376657. The reversal of 130376640 is 46673031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 130376598 and 130376607.

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 15 ways as a sum of consecutive naturals, for example, 63307 + ... + 65333.

Almost surely, 2130376640 is an apocalyptic number.

130376640 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 130376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210165696).

130376640 is an abundant number, since it is smaller than the sum of its proper divisors (289954752).

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

130376640 is a wasteful number, since it uses less digits than its factorization.

130376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 130376640 is about 11418.2590616959. The cubic root of 130376640 is about 507.0684563019.

The spelling of 130376640 in words is "one hundred thirty million, three hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2027 2144 2680 3216 4020 4054 4288 5360 6081 6432 8040 8108 10135 10720 12162 12864 16080 16216 20270 21440 24324 30405 32160 32432 40540 48648 60810 64320 64864 81080 97296 121620 129728 135809 162160 194592 243240 271618 324320 389184 407427 486480 543236 648640 679045 814854 972960 1086472 1358090 1629708 1945920 2037135 2172944 2716180 3259416 4074270 4345888 5432360 6518832 8148540 8691776 10864720 13037664 16297080 21729440 26075328 32594160 43458880 65188320 130376640