Search a number
-
+
99180144 = 24327611613
BaseRepresentation
bin1011110100101…
…01111001110000
320220121212120200
411322111321300
5200342231034
613501435200
72313005640
oct572257160
9226555520
1099180144
1150a91568
122926bb00
131771759b
14d25a520
158a91a99
hex5e95e70

99180144 has 120 divisors (see below), whose sum is σ = 322619232. Its totient is φ = 27855360.

The previous prime is 99180143. The next prime is 99180149. The reversal of 99180144 is 44108199.

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

It is a junction number, because it is equal to n+sod(n) for n = 99180099 and 99180108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99180143) 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, 60682 + ... + 62294.

Almost surely, 299180144 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 99180144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161309616).

99180144 is an abundant number, since it is smaller than the sum of its proper divisors (223439088).

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

99180144 is a wasteful number, since it uses less digits than its factorization.

99180144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 99180144 is about 9958.9228333189. The cubic root of 99180144 is about 462.8869227688.

The spelling of 99180144 in words is "ninety-nine million, one hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 61 63 72 84 112 122 126 144 168 183 244 252 336 366 427 488 504 549 732 854 976 1008 1098 1281 1464 1613 1708 2196 2562 2928 3226 3416 3843 4392 4839 5124 6452 6832 7686 8784 9678 10248 11291 12904 14517 15372 19356 20496 22582 25808 29034 30744 33873 38712 45164 58068 61488 67746 77424 90328 98393 101619 116136 135492 180656 196786 203238 232272 270984 295179 393572 406476 541968 590358 688751 787144 812952 885537 1180716 1377502 1574288 1625904 1771074 2066253 2361432 2755004 3542148 4132506 4722864 5510008 6198759 7084296 8265012 11020016 12397518 14168592 16530024 24795036 33060048 49590072 99180144