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70152192 = 2123211173
BaseRepresentation
bin1000010111001…
…11000000000000
311220000002201100
410023213000000
5120424332232
610543334400
71511166225
oct413470000
9156002640
1070152192
1136665420
121b5b1400
13116c2b96
14946194c
15625ac7c
hex42e7000

70152192 has 156 divisors (see below), whose sum is σ = 222336504. Its totient is φ = 21135360.

The previous prime is 70152179. The next prime is 70152223. The reversal of 70152192 is 29125107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405418 + ... + 405590.

It is an arithmetic number, because the mean of its divisors is an integer number (1425234).

Almost surely, 270152192 is an apocalyptic number.

70152192 is a gapful number since it is divisible by the number (72) 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 70152192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111168252).

70152192 is an abundant number, since it is smaller than the sum of its proper divisors (152184312).

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

70152192 is a wasteful number, since it uses less digits than its factorization.

70152192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 70152192 is about 8375.6905386959. The cubic root of 70152192 is about 412.4269931402.

Adding to 70152192 its reverse (29125107), we get a palindrome (99277299).

The spelling of 70152192 in words is "seventy million, one hundred fifty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 173 176 192 198 256 264 288 346 352 384 396 512 519 528 576 692 704 768 792 1024 1038 1056 1152 1384 1408 1536 1557 1584 1903 2048 2076 2112 2304 2768 2816 3072 3114 3168 3806 4096 4152 4224 4608 5536 5632 5709 6144 6228 6336 7612 8304 8448 9216 11072 11264 11418 12288 12456 12672 15224 16608 16896 17127 18432 22144 22528 22836 24912 25344 30448 33216 33792 34254 36864 44288 45056 45672 49824 50688 60896 66432 67584 68508 88576 91344 99648 101376 121792 132864 135168 137016 177152 182688 199296 202752 243584 265728 274032 354304 365376 398592 405504 487168 531456 548064 708608 730752 797184 974336 1062912 1096128 1461504 1594368 1948672 2125824 2192256 2923008 3188736 3897344 4384512 5846016 6377472 7794688 8769024 11692032 17538048 23384064 35076096 70152192