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130000992 = 25311307401
BaseRepresentation
bin1111011111110…
…10100001100000
3100001121201211120
413233322201200
5231240012432
620522212240
73135663432
oct757724140
9301551746
10130000992
1167422740
1237654080
1320c19084
14133a0652
15b62dc2c
hex7bfa860

130000992 has 96 divisors (see below), whose sum is σ = 374419584. Its totient is φ = 39168000.

The previous prime is 130000987. The next prime is 130000993. The reversal of 130000992 is 299000031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130000993) 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, 323992 + ... + 324392.

It is an arithmetic number, because the mean of its divisors is an integer number (3900204).

Almost surely, 2130000992 is an apocalyptic number.

130000992 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 130000992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187209792).

130000992 is an abundant number, since it is smaller than the sum of its proper divisors (244418592).

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

130000992 is a wasteful number, since it uses less digits than its factorization.

130000992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 130000992 is about 11401.7977529861. The cubic root of 130000992 is about 506.5809904377.

The spelling of 130000992 in words is "one hundred thirty million, nine hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 307 352 401 528 614 802 921 1056 1203 1228 1604 1842 2406 2456 3208 3377 3684 4411 4812 4912 6416 6754 7368 8822 9624 9824 10131 12832 13233 13508 14736 17644 19248 20262 26466 27016 29472 35288 38496 40524 52932 54032 70576 81048 105864 108064 123107 141152 162096 211728 246214 324192 369321 423456 492428 738642 984856 1354177 1477284 1969712 2708354 2954568 3939424 4062531 5416708 5909136 8125062 10833416 11818272 16250124 21666832 32500248 43333664 65000496 130000992