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130167024 = 243131910979
BaseRepresentation
bin1111100001000…
…11000011110000
3100001221011120220
413300203003300
5231310321044
620525533040
73140254461
oct760430360
9301834526
10130167024
1167526459
1237714180
1320c76810
1413404d68
15b663019
hex7c230f0

130167024 has 80 divisors (see below), whose sum is σ = 381225600. Its totient is φ = 37939968.

The previous prime is 130167019. The next prime is 130167029. The reversal of 130167024 is 420761031.

It is an interprime number because it is at equal distance from previous prime (130167019) and next prime (130167029).

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

It is a junction number, because it is equal to n+sod(n) for n = 130166985 and 130167003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130167029) 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, 6367 + ... + 17345.

It is an arithmetic number, because the mean of its divisors is an integer number (4765320).

Almost surely, 2130167024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130167024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190612800).

130167024 is an abundant number, since it is smaller than the sum of its proper divisors (251058576).

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

130167024 is a wasteful number, since it uses less digits than its factorization.

130167024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11022 (or 11016 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 130167024 is about 11409.0763868071. The cubic root of 130167024 is about 506.7965602637.

The spelling of 130167024 in words is "one hundred thirty million, one hundred sixty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 10979 11856 21958 32937 43916 65874 87832 131748 142727 175664 208601 263496 285454 417202 428181 526992 570908 625803 834404 856362 1141816 1251606 1668808 1712724 2283632 2503212 2711813 3337616 3425448 5006424 5423626 6850896 8135439 10012848 10847252 16270878 21694504 32541756 43389008 65083512 130167024