[go: up one dir, main page]

Search a number
-
+
96203664 = 24322331937
BaseRepresentation
bin1011011101111…
…11001110010000
320201000122121200
411232333032100
5144112004124
613313551200
72245501104
oct556771620
9221018550
1096203664
114a339267
1228275500
1316c1485b
14cac3904
1586a4bc9
hex5bbf390

96203664 has 120 divisors (see below), whose sum is σ = 290314752. Its totient is φ = 29652480.

The previous prime is 96203647. The next prime is 96203683. The reversal of 96203664 is 46630269.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102204 + ... + 103140.

Almost surely, 296203664 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 96203664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145157376).

96203664 is an abundant number, since it is smaller than the sum of its proper divisors (194111088).

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

96203664 is a wasteful number, since it uses less digits than its factorization.

96203664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 96203664 is about 9808.3466496653. The cubic root of 96203664 is about 458.2092698113.

The spelling of 96203664 in words is "ninety-six million, two hundred three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 36 46 48 62 69 72 92 93 124 138 144 184 186 207 248 276 279 368 372 414 496 552 558 713 744 828 937 1104 1116 1426 1488 1656 1874 2139 2232 2811 2852 3312 3748 4278 4464 5622 5704 6417 7496 8433 8556 11244 11408 12834 14992 16866 17112 21551 22488 25668 29047 33732 34224 43102 44976 51336 58094 64653 67464 86204 87141 102672 116188 129306 134928 172408 174282 193959 232376 258612 261423 344816 348564 387918 464752 517224 522846 668081 697128 775836 1034448 1045692 1336162 1394256 1551672 2004243 2091384 2672324 3103344 4008486 4182768 5344648 6012729 8016972 10689296 12025458 16033944 24050916 32067888 48101832 96203664