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153092240 = 24571671637
BaseRepresentation
bin10010010000000…
…00000010010000
3101200001220001222
421020000002100
5303142422430
623105144212
73536156030
oct1110000220
9350056058
10153092240
1179464514
124332b068
1325942532
14164918c0
15d6909e5
hex9200090

153092240 has 80 divisors (see below), whose sum is σ = 409473792. Its totient is φ = 52142592.

The previous prime is 153092221. The next prime is 153092257. The reversal of 153092240 is 42290351.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92702 + ... + 94338.

Almost surely, 2153092240 is an apocalyptic number.

153092240 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 153092240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

153092240 is an abundant number, since it is smaller than the sum of its proper divisors (256381552).

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

153092240 is a wasteful number, since it uses less digits than its factorization.

153092240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 153092240 is about 12373.0448960634. The cubic root of 153092240 is about 534.9555848649.

The spelling of 153092240 in words is "one hundred fifty-three million, ninety-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 167 280 334 560 668 835 1169 1336 1637 1670 2338 2672 3274 3340 4676 5845 6548 6680 8185 9352 11459 11690 13096 13360 16370 18704 22918 23380 26192 32740 45836 46760 57295 65480 91672 93520 114590 130960 183344 229180 273379 458360 546758 916720 1093516 1366895 1913653 2187032 2733790 3827306 4374064 5467580 7654612 9568265 10935160 15309224 19136530 21870320 30618448 38273060 76546120 153092240