Search a number
-
+
153973092 = 223721320143
BaseRepresentation
bin10010010110101…
…11000101100100
3101201201122101010
421023113011210
5303404114332
623140102220
73546515100
oct1113270544
9351648333
10153973092
1179a06299
1243694970
1325b90450
1416640900
15d7b69cc
hex92d7164

153973092 has 72 divisors (see below), whose sum is σ = 450097536. Its totient is φ = 40606272.

The previous prime is 153973091. The next prime is 153973103. The reversal of 153973092 is 290379351.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 153973092.

It is not an unprimeable number, because it can be changed into a prime (153973091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2428 + ... + 17715.

Almost surely, 2153973092 is an apocalyptic number.

153973092 is a gapful number since it is divisible by the number (12) 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 153973092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225048768).

153973092 is an abundant number, since it is smaller than the sum of its proper divisors (296124444).

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

153973092 is a wasteful number, since it uses less digits than its factorization.

153973092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20177 (or 20168 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 153973092 is about 12408.5894444131. The cubic root of 153973092 is about 535.9796207073.

The spelling of 153973092 in words is "one hundred fifty-three million, nine hundred seventy-three thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 20143 40286 60429 80572 120858 141001 241716 261859 282002 423003 523718 564004 785577 846006 987007 1047436 1571154 1692012 1833013 1974014 2961021 3142308 3666026 3948028 5499039 5922042 7332052 10998078 11844084 12831091 21996156 25662182 38493273 51324364 76986546 153973092