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150078864 = 243132310457
BaseRepresentation
bin10001111001000…
…00010110010000
3101110101210111110
420330200112100
5301410010424
622520413320
73501435465
oct1074402620
9343353443
10150078864
1177796521
1242317240
1325128a80
1415d0966c
15d297c29
hex8f20590

150078864 has 80 divisors (see below), whose sum is σ = 435722112. Its totient is φ = 44166144.

The previous prime is 150078833. The next prime is 150078883. The reversal of 150078864 is 468870051.

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

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, 9124 + ... + 19580.

Almost surely, 2150078864 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 150078864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217861056).

150078864 is an abundant number, since it is smaller than the sum of its proper divisors (285643248).

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

150078864 is a wasteful number, since it uses less digits than its factorization.

150078864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10504 (or 10498 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 150078864 is about 12250.6679001596. The cubic root of 150078864 is about 531.4223855052.

It can be divided in two parts, 15007 and 8864, that added together give a triangular number (23871 = T218).

The spelling of 150078864 in words is "one hundred fifty million, seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1794 2392 3588 4784 7176 10457 14352 20914 31371 41828 62742 83656 125484 135941 167312 240511 250968 271882 407823 481022 501936 543764 721533 815646 962044 1087528 1443066 1631292 1924088 2175056 2886132 3126643 3262584 3848176 5772264 6253286 6525168 9379929 11544528 12506572 18759858 25013144 37519716 50026288 75039432 150078864