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3164151540 = 22351137312853
BaseRepresentation
bin1011110010011001…
…0001111011110100
322011111220112220210
42330212101323310
522440010322130
61241550425420
7141260562414
oct27446217364
98144815823
103164151540
111384098980
12743802270
133b56c9824
14220336644
15137bbb5b0
hexbc991ef4

3164151540 has 96 divisors (see below), whose sum is σ = 9691710336. Its totient is φ = 764951040.

The previous prime is 3164151511. The next prime is 3164151563. The reversal of 3164151540 is 451514613.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3164151498 and 3164151507.

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, 239754 + ... + 252606.

It is an arithmetic number, because the mean of its divisors is an integer number (100955316).

Almost surely, 23164151540 is an apocalyptic number.

3164151540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3164151540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845855168).

3164151540 is an abundant number, since it is smaller than the sum of its proper divisors (6527558796).

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

3164151540 is a wasteful number, since it uses less digits than its factorization.

3164151540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13249 (or 13247 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 3164151540 is about 56250.7914610986. The cubic root of 3164151540 is about 1468.0891363636.

The spelling of 3164151540 in words is "three billion, one hundred sixty-four million, one hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 373 660 746 1119 1492 1865 2238 3730 4103 4476 5595 7460 8206 11190 12309 12853 16412 20515 22380 24618 25706 38559 41030 49236 51412 61545 64265 77118 82060 123090 128530 141383 154236 192795 246180 257060 282766 385590 424149 565532 706915 771180 848298 1413830 1696596 2120745 2827660 4241490 4794169 8482980 9588338 14382507 19176676 23970845 28765014 47941690 52735859 57530028 71912535 95883380 105471718 143825070 158207577 210943436 263679295 287650140 316415154 527358590 632830308 791037885 1054717180 1582075770 3164151540