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151830064 = 24193116111
BaseRepresentation
bin10010000110010…
…11111000110000
3101120200202200201
421003023320300
5302332030224
623022124544
73522351151
oct1103137060
9346622621
10151830064
11787821a1
1242a20754
13255bcb99
1416243928
15d4e1a44
hex90cbe30

151830064 has 40 divisors (see below), whose sum is σ = 319662080. Its totient is φ = 69595200.

The previous prime is 151830017. The next prime is 151830073. The reversal of 151830064 is 460038151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1369 + ... + 17479.

It is an arithmetic number, because the mean of its divisors is an integer number (7991552).

Almost surely, 2151830064 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 151830064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159831040).

151830064 is an abundant number, since it is smaller than the sum of its proper divisors (167832016).

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

151830064 is a wasteful number, since it uses less digits than its factorization.

151830064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16169 (or 16163 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 151830064 is about 12321.9342637428. The cubic root of 151830064 is about 533.4813707110.

The spelling of 151830064 in words is "one hundred fifty-one million, eight hundred thirty thousand, sixty-four".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1178 2356 4712 9424 16111 32222 64444 128888 257776 306109 499441 612218 998882 1224436 1997764 2448872 3995528 4897744 7991056 9489379 18978758 37957516 75915032 151830064