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2115405342 = 233315932131
BaseRepresentation
bin111111000010110…
…1000011000011110
312110102111201121000
41332011220120132
513313020432332
6545524251130
7103264435341
oct17605503036
95412451530
102115405342
11996100386
124b0540aa6
13279352b4b
14160d3a458
15c5aabb7c
hex7e16861e

2115405342 has 64 divisors (see below), whose sum is σ = 4863006720. Its totient is φ = 680918400.

The previous prime is 2115405317. The next prime is 2115405367. The reversal of 2115405342 is 2435045112.

2115405342 is a `hidden beast` number, since 211 + 5 + 405 + 3 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (2115405317) and next prime (2115405367).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991617 + ... + 993747.

It is an arithmetic number, because the mean of its divisors is an integer number (75984480).

Almost surely, 22115405342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115405342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431503360).

2115405342 is an abundant number, since it is smaller than the sum of its proper divisors (2747601378).

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

2115405342 is a wasteful number, since it uses less digits than its factorization.

2115405342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2115405342 is about 45993.5358719027. The cubic root of 2115405342 is about 1283.7029293525.

The spelling of 2115405342 in words is "two billion, one hundred fifteen million, four hundred five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 593 837 1186 1674 1779 2131 3558 4262 5337 6393 10674 12786 16011 18383 19179 32022 36766 38358 55149 57537 66061 110298 115074 132122 165447 198183 330894 396366 496341 594549 992682 1189098 1263683 1783647 2527366 3567294 3791049 7582098 11373147 22746294 34119441 39174173 68238882 78348346 117522519 235045038 352567557 705135114 1057702671 2115405342