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3870712160 = 255710732299
BaseRepresentation
bin1110011010110110…
…0110000101100000
3100222202102112212122
43212231212011200
530411400242120
61440030443412
7164630340050
oct34655460540
910882375778
103870712160
111706a09377
12900363568
13498bc5133
1428a0db560
15179c37a25
hexe6b66160

3870712160 has 96 divisors (see below), whose sum is σ = 10548921600. Its totient is φ = 1314657792.

The previous prime is 3870712127. The next prime is 3870712163. The reversal of 3870712160 is 612170783.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3870712160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870712163) 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, 103691 + ... + 135989.

It is an arithmetic number, because the mean of its divisors is an integer number (109884600).

Almost surely, 23870712160 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 3870712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274460800).

3870712160 is an abundant number, since it is smaller than the sum of its proper divisors (6678209440).

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

3870712160 is a wasteful number, since it uses less digits than its factorization.

3870712160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32428 (or 32420 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 3870712160 is about 62215.0476974823. The cubic root of 3870712160 is about 1570.1107688220.

The spelling of 3870712160 in words is "three billion, eight hundred seventy million, seven hundred twelve thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 107 112 140 160 214 224 280 428 535 560 749 856 1070 1120 1498 1712 2140 2996 3424 3745 4280 5992 7490 8560 11984 14980 17120 23968 29960 32299 59920 64598 119840 129196 161495 226093 258392 322990 452186 516784 645980 904372 1033568 1130465 1291960 1808744 2260930 2583920 3455993 3617488 4521860 5167840 6911986 7234976 9043720 13823972 17279965 18087440 24191951 27647944 34559930 36174880 48383902 55295888 69119860 96767804 110591776 120959755 138239720 193535608 241919510 276479440 387071216 483839020 552958880 774142432 967678040 1935356080 3870712160