Search a number
-
+
96729876 = 22344353131
BaseRepresentation
bin1011100001111…
…11101100010100
320202000101110000
411300333230110
5144230324001
613333131300
72253122205
oct560775424
9222011400
1096729876
114a668651
1228489b30
131706a219
14cbbd5ac
15875aa86
hex5c3fb14

96729876 has 120 divisors (see below), whose sum is σ = 265646304. Its totient is φ = 30663360.

The previous prime is 96729859. The next prime is 96729883. The reversal of 96729876 is 67892769.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (2286144) is a multiple of the sum of its prime factors (243).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 738331 + ... + 738461.

Almost surely, 296729876 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 96729876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132823152).

96729876 is an abundant number, since it is smaller than the sum of its proper divisors (168916428).

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

96729876 is a wasteful number, since it uses less digits than its factorization.

96729876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 96729876 is about 9835.1347728437. The cubic root of 96729876 is about 459.0431844542.

The spelling of 96729876 in words is "ninety-six million, seven hundred twenty-nine thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 53 54 81 86 106 108 129 131 159 162 172 212 258 262 318 324 387 393 477 516 524 636 774 786 954 1161 1179 1431 1548 1572 1908 2279 2322 2358 2862 3483 3537 4293 4558 4644 4716 5633 5724 6837 6943 6966 7074 8586 9116 10611 11266 13674 13886 13932 14148 16899 17172 20511 20829 21222 22532 27348 27772 33798 41022 41658 42444 50697 61533 62487 67596 82044 83316 101394 123066 124974 152091 184599 187461 202788 246132 249948 298549 304182 369198 374922 456273 562383 597098 608364 738396 749844 895647 912546 1124766 1194196 1791294 1825092 2249532 2686941 3582588 5373882 8060823 10747764 16121646 24182469 32243292 48364938 96729876