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8070144 = 21033771
BaseRepresentation
bin11110110010010000000000
3120012000011020
4132302100000
54031221034
6444545440
7125411055
oct36622000
916160136
108070144
114612245
122852280
131897344
14110102c
15a96249
hex7b2400

8070144 has 88 divisors (see below), whose sum is σ = 22402368. Its totient is φ = 2580480.

The previous prime is 8070133. The next prime is 8070157. The reversal of 8070144 is 4410708.

8070144 is digitally balanced in base 5, 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 (24).

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, 113629 + ... + 113699.

Almost surely, 28070144 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 8070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11201184).

8070144 is an abundant number, since it is smaller than the sum of its proper divisors (14332224).

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

8070144 is a wasteful number, since it uses less digits than its factorization.

8070144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 8070144 is about 2840.7998873557. The cubic root of 8070144 is about 200.5828332107.

The spelling of 8070144 in words is "eight million, seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 71 74 96 111 128 142 148 192 213 222 256 284 296 384 426 444 512 568 592 768 852 888 1024 1136 1184 1536 1704 1776 2272 2368 2627 3072 3408 3552 4544 4736 5254 6816 7104 7881 9088 9472 10508 13632 14208 15762 18176 18944 21016 27264 28416 31524 36352 37888 42032 54528 56832 63048 72704 84064 109056 113664 126096 168128 218112 252192 336256 504384 672512 1008768 1345024 2017536 2690048 4035072 8070144