Search a number
-
+
104132736 = 2733291039
BaseRepresentation
bin1100011010011…
…11000010000000
321020221111021000
412031033002000
5203124221421
614155532000
72403053661
oct615170200
9236844230
10104132736
1153864514
122aa5a000
131875c906
14db89368
15921e226
hex634f080

104132736 has 128 divisors (see below), whose sum is σ = 318240000. Its totient is φ = 33481728.

The previous prime is 104132731. The next prime is 104132737. The reversal of 104132736 is 637231401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104132731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99705 + ... + 100743.

It is an arithmetic number, because the mean of its divisors is an integer number (2486250).

Almost surely, 2104132736 is an apocalyptic number.

104132736 is a gapful number since it is divisible by the number (16) 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 104132736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159120000).

104132736 is an abundant number, since it is smaller than the sum of its proper divisors (214107264).

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

104132736 is a wasteful number, since it uses less digits than its factorization.

104132736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 104132736 is about 10204.5448698117. The cubic root of 104132736 is about 470.4669209248.

The spelling of 104132736 in words is "one hundred four million, one hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 928 1039 1044 1152 1392 1566 1728 1856 2078 2088 2784 3117 3132 3456 3712 4156 4176 5568 6234 6264 8312 8352 9351 11136 12468 12528 16624 16704 18702 24936 25056 28053 30131 33248 33408 37404 49872 50112 56106 60262 66496 74808 90393 99744 100224 112212 120524 132992 149616 180786 199488 224424 241048 271179 299232 361572 398976 448848 482096 542358 598464 723144 813537 897696 964192 1084716 1196928 1446288 1627074 1795392 1928384 2169432 2892576 3254148 3590784 3856768 4338864 5785152 6508296 8677728 11570304 13016592 17355456 26033184 34710912 52066368 104132736