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163970144 = 2513613643
BaseRepresentation
bin10011100010111…
…11110001100000
3102102112112202022
421301133301200
5313434021034
624134241012
74030503032
oct1161376140
9372475668
10163970144
1184614218
1246ab6168
1327c80870
1417ac3c52
15e5ddb2e
hex9c5fc60

163970144 has 48 divisors (see below), whose sum is σ = 348756912. Its totient is φ = 75437568.

The previous prime is 163970143. The next prime is 163970153. The reversal of 163970144 is 441079361.

163970144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163970141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254687 + ... + 255329.

It is an arithmetic number, because the mean of its divisors is an integer number (7265769).

Almost surely, 2163970144 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 163970144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174378456).

163970144 is an abundant number, since it is smaller than the sum of its proper divisors (184786768).

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

163970144 is a wasteful number, since it uses less digits than its factorization.

163970144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 163970144 is about 12805.0827408494. The cubic root of 163970144 is about 547.3371494280.

The spelling of 163970144 in words is "one hundred sixty-three million, nine hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 613 643 1226 1286 2452 2572 4904 5144 7969 8359 9808 10288 15938 16718 19616 20576 31876 33436 63752 66872 127504 133744 255008 267488 394159 788318 1576636 3153272 5124067 6306544 10248134 12613088 20496268 40992536 81985072 163970144