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130172742 = 23271377541
BaseRepresentation
bin1111100001001…
…00011101000110
3100001221110102200
413300210131012
5231311011432
620530015330
73140310240
oct760443506
9301843380
10130172742
116752a787
1237717546
1320c792bb
1413407090
15b664a7c
hex7c24746

130172742 has 48 divisors (see below), whose sum is σ = 324728352. Its totient is φ = 36915840.

The previous prime is 130172729. The next prime is 130172747. The reversal of 130172742 is 247271031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130172747) 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, 13492 + ... + 21032.

It is an arithmetic number, because the mean of its divisors is an integer number (6765174).

Almost surely, 2130172742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130172742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162364176).

130172742 is an abundant number, since it is smaller than the sum of its proper divisors (194555610).

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

130172742 is a wasteful number, since it uses less digits than its factorization.

130172742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7693 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 130172742 is about 11409.3269740156. The cubic root of 130172742 is about 506.8039810380.

The spelling of 130172742 in words is "one hundred thirty million, one hundred seventy-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 137 274 411 822 959 1233 1918 2466 2877 5754 7541 8631 15082 17262 22623 45246 52787 67869 105574 135738 158361 316722 475083 950166 1033117 2066234 3099351 6198702 7231819 9298053 14463638 18596106 21695457 43390914 65086371 130172742