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2151403540 = 22511132572927
BaseRepresentation
bin1000000000111011…
…1101000000010100
312112221020121211121
42000032331000110
513401224403130
6553252013324
7104212425346
oct20016750024
95487217747
102151403540
11a04458360
12500601244
13283948060
14165a2b296
15c8d1cd7a
hex803bd014

2151403540 has 96 divisors (see below), whose sum is σ = 5330271744. Its totient is φ = 719093760.

The previous prime is 2151403531. The next prime is 2151403543. The reversal of 2151403540 is 453041512.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151403543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733557 + ... + 736483.

It is an arithmetic number, because the mean of its divisors is an integer number (55523664).

Almost surely, 22151403540 is an apocalyptic number.

2151403540 is a gapful number since it is divisible by the number (20) 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 2151403540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665135872).

2151403540 is an abundant number, since it is smaller than the sum of its proper divisors (3178868204).

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

2151403540 is a wasteful number, since it uses less digits than its factorization.

2151403540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2151403540 is about 46383.2247693064. The cubic root of 2151403540 is about 1290.9436718268.

The spelling of 2151403540 in words is "two billion, one hundred fifty-one million, four hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 257 260 286 514 572 715 1028 1285 1430 2570 2827 2860 2927 3341 5140 5654 5854 6682 11308 11708 13364 14135 14635 16705 28270 29270 32197 33410 36751 38051 56540 58540 64394 66820 73502 76102 128788 147004 152204 160985 183755 190255 321970 367510 380510 418561 643940 735020 752239 761020 837122 1504478 1674244 2092805 3008956 3761195 4185610 7522390 8274629 8371220 9779107 15044780 16549258 19558214 33098516 39116428 41373145 48895535 82746290 97791070 107570177 165492580 195582140 215140354 430280708 537850885 1075701770 2151403540