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157320840 = 23357317959
BaseRepresentation
bin10010110000010…
…00011010001000
3101222000201121210
421120020122020
5310233231330
623335533120
73620130225
oct1130103210
9358021553
10157320840
1180892526
124482a1a0
1326793171
1416c7294c
15dc288b0
hex9608688

157320840 has 64 divisors (see below), whose sum is σ = 478454400. Its totient is φ = 41375232.

The previous prime is 157320833. The next prime is 157320857. The reversal of 157320840 is 48023751.

157320840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 157320798 and 157320807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220 + ... + 17739.

It is an arithmetic number, because the mean of its divisors is an integer number (7475850).

Almost surely, 2157320840 is an apocalyptic number.

157320840 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 157320840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239227200).

157320840 is an abundant number, since it is smaller than the sum of its proper divisors (321133560).

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

157320840 is a wasteful number, since it uses less digits than its factorization.

157320840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18046 (or 18042 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 157320840 is about 12542.7604617166. The cubic root of 157320840 is about 539.8363015466.

The spelling of 157320840 in words is "one hundred fifty-seven million, three hundred twenty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 17959 35918 53877 71836 89795 107754 143672 179590 215508 269385 359180 431016 538770 718360 1077540 1311007 2155080 2622014 3933021 5244028 6555035 7866042 10488056 13110070 15732084 19665105 26220140 31464168 39330210 52440280 78660420 157320840