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696198144 = 21031713331
BaseRepresentation
bin101001011111110…
…010010000000000
31210112000112022110
4221133302100000
52411211320034
6153025535320
723152405125
oct5137622000
91715015273
10696198144
11327a92a74
121751a4540
13b130aa85
146866874c
15411c0de9
hex297f2400

696198144 has 88 divisors (see below), whose sum is σ = 1964923488. Its totient is φ = 218398720.

The previous prime is 696198137. The next prime is 696198193. The reversal of 696198144 is 441891696.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 696198093 and 696198102.

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, 45559 + ... + 58889.

It is an arithmetic number, because the mean of its divisors is an integer number (22328676).

Almost surely, 2696198144 is an apocalyptic number.

696198144 is a gapful number since it is divisible by the number (64) 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 696198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982461744).

696198144 is an abundant number, since it is smaller than the sum of its proper divisors (1268725344).

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

696198144 is a wasteful number, since it uses less digits than its factorization.

696198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13371 (or 13353 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 696198144 is about 26385.5669637778. The cubic root of 696198144 is about 886.2936145873.

The spelling of 696198144 in words is "six hundred ninety-six million, one hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2176 3072 3264 4352 6528 8704 13056 13331 17408 26112 26662 39993 52224 53324 79986 106648 159972 213296 226627 319944 426592 453254 639888 679881 853184 906508 1279776 1359762 1706368 1813016 2559552 2719524 3412736 3626032 5119104 5439048 6825472 7252064 10238208 10878096 13650944 14504128 20476416 21756192 29008256 40952832 43512384 58016512 87024768 116033024 174049536 232066048 348099072 696198144