[go: up one dir, main page]

Search a number
-
+
116733680 = 2457297307
BaseRepresentation
bin1101111010100…
…11011011110000
322010122200111122
412331103123300
5214340434210
615330001412
72615135300
oct675233360
9263580448
10116733680
115a990818
1233116268
131b2522ab
1411709600
15a3acb55
hex6f536f0

116733680 has 120 divisors (see below), whose sum is σ = 320010768. Its totient is φ = 39481344.

The previous prime is 116733677. The next prime is 116733689. The reversal of 116733680 is 86337611.

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 116733680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116733689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380087 + ... + 380393.

Almost surely, 2116733680 is an apocalyptic number.

116733680 is a gapful number since it is divisible by the number (10) 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 116733680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160005384).

116733680 is an abundant number, since it is smaller than the sum of its proper divisors (203277088).

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

116733680 is a wasteful number, since it uses less digits than its factorization.

116733680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 116733680 is about 10804.3361665583. The cubic root of 116733680 is about 488.7259418695.

The spelling of 116733680 in words is "one hundred sixteen million, seven hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 97 98 112 140 194 196 245 280 307 388 392 485 490 560 614 679 776 784 970 980 1228 1358 1535 1552 1940 1960 2149 2456 2716 3070 3395 3880 3920 4298 4753 4912 5432 6140 6790 7760 8596 9506 10745 10864 12280 13580 15043 17192 19012 21490 23765 24560 27160 29779 30086 34384 38024 42980 47530 54320 59558 60172 75215 76048 85960 95060 119116 120344 148895 150430 171920 190120 208453 238232 240688 297790 300860 380240 416906 476464 595580 601720 833812 1042265 1191160 1203440 1459171 1667624 2084530 2382320 2918342 3335248 4169060 5836684 7295855 8338120 11673368 14591710 16676240 23346736 29183420 58366840 116733680