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130842642 = 23721747557
BaseRepresentation
bin1111100110010…
…00000000010010
3100010012111100210
413303020000102
5231443431032
620552224550
73146100300
oct763100022
9303174323
10130842642
1167948017
123799b156
13211521a8
141353d270
15b7482cc
hex7cc8012

130842642 has 96 divisors (see below), whose sum is σ = 329764608. Its totient is φ = 34374144.

The previous prime is 130842631. The next prime is 130842643. The reversal of 130842642 is 246248031.

It is not an unprimeable number, because it can be changed into a prime (130842643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234628 + ... + 235184.

It is an arithmetic number, because the mean of its divisors is an integer number (3435048).

Almost surely, 2130842642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130842642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164882304).

130842642 is an abundant number, since it is smaller than the sum of its proper divisors (198921966).

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

130842642 is a wasteful number, since it uses less digits than its factorization.

130842642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 130842642 is about 11438.6468605338. The cubic root of 130842642 is about 507.6718720283.

The spelling of 130842642 in words is "one hundred thirty million, eight hundred forty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 47 49 51 94 98 102 119 141 147 238 282 294 329 357 557 658 714 799 833 987 1114 1598 1666 1671 1974 2303 2397 2499 3342 3899 4606 4794 4998 5593 6909 7798 9469 11186 11697 13818 16779 18938 23394 26179 27293 28407 33558 39151 52358 54586 56814 66283 78302 78537 81879 117453 132566 157074 163758 183253 198849 234906 366506 397698 445043 463981 549759 890086 927962 1099518 1282771 1335129 1391943 2565542 2670258 2783886 3115301 3848313 6230602 7696626 9345903 18691806 21807107 43614214 65421321 130842642