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690814272 = 26337472069
BaseRepresentation
bin101001001011001…
…111110101000000
31210010220000000210
4221023033311000
52403322024042
6152314314120
723055552531
oct5113176500
91703800023
10690814272
11324a45a95
12173428940
13b0174355
1467a66688
15409aaa9c
hex292cfd40

690814272 has 112 divisors (see below), whose sum is σ = 1918045440. Its totient is φ = 219174912.

The previous prime is 690814253. The next prime is 690814273. The reversal of 690814272 is 272418096.

It is a self number, because there is not a number n which added to its sum of digits gives 690814272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690814273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332854 + ... + 334922.

Almost surely, 2690814272 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 690814272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959022720).

690814272 is an abundant number, since it is smaller than the sum of its proper divisors (1227231168).

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

690814272 is a wasteful number, since it uses less digits than its factorization.

690814272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 690814272 is about 26283.3459057252. The cubic root of 690814272 is about 884.0030575299.

The spelling of 690814272 in words is "six hundred ninety million, eight hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 47 48 64 74 94 96 111 141 148 188 192 222 282 296 376 444 564 592 752 888 1128 1184 1504 1739 1776 2069 2256 2368 3008 3478 3552 4138 4512 5217 6207 6956 7104 8276 9024 10434 12414 13912 16552 20868 24828 27824 33104 41736 49656 55648 66208 76553 83472 97243 99312 111296 132416 153106 166944 194486 198624 229659 291729 306212 333888 388972 397248 459318 583458 612424 777944 918636 1166916 1224848 1555888 1837272 2333832 2449696 3111776 3597991 3674544 4667664 4899392 6223552 7195982 7349088 9335328 10793973 14391964 14698176 18670656 21587946 28783928 43175892 57567856 86351784 115135712 172703568 230271424 345407136 690814272