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150360704 = 2713109829
BaseRepresentation
bin10001111011001…
…01001010000000
3101110221010002222
420331211022000
5301443020304
622530430212
73504021254
oct1075451200
9343833088
10150360704
117796924a
1242432368
13251c7140
1415d80264
15d3014be
hex8f65280

150360704 has 64 divisors (see below), whose sum is σ = 325941000. Its totient is φ = 68677632.

The previous prime is 150360697. The next prime is 150360719. The reversal of 150360704 is 407063051.

150360704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 122058304 + 28302400 = 11048^2 + 5320^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180962 + ... + 181790.

Almost surely, 2150360704 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 150360704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162970500).

150360704 is an abundant number, since it is smaller than the sum of its proper divisors (175580296).

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

150360704 is a wasteful number, since it uses less digits than its factorization.

150360704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 150360704 is about 12262.1655509947. The cubic root of 150360704 is about 531.7548383274.

The spelling of 150360704 in words is "one hundred fifty million, three hundred sixty thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 109 128 208 218 416 436 829 832 872 1417 1658 1664 1744 2834 3316 3488 5668 6632 6976 10777 11336 13264 13952 21554 22672 26528 43108 45344 53056 86216 90361 90688 106112 172432 180722 181376 344864 361444 689728 722888 1174693 1379456 1445776 2349386 2891552 4698772 5783104 9397544 11566208 18795088 37590176 75180352 150360704