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690220240 = 245411631291
BaseRepresentation
bin101001001000111…
…110110011010000
31210002202211011121
4221020332303100
52403144021430
6152253452024
723050526623
oct5110766320
91702684147
10690220240
1132467a756
121731a1014
13accc6b58
146794ddba
15408dea7a
hex2923ecd0

690220240 has 80 divisors (see below), whose sum is σ = 1655269056. Its totient is φ = 267494400.

The previous prime is 690220231. The next prime is 690220259. The reversal of 690220240 is 42022096.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533995 + ... + 535285.

Almost surely, 2690220240 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 690220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827634528).

690220240 is an abundant number, since it is smaller than the sum of its proper divisors (965048816).

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

690220240 is a wasteful number, since it uses less digits than its factorization.

690220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 690220240 is about 26272.0429354095. The cubic root of 690220240 is about 883.7495997790.

The spelling of 690220240 in words is "six hundred ninety million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 163 164 205 326 328 410 652 656 815 820 1291 1304 1630 1640 2582 2608 3260 3280 5164 6455 6520 6683 10328 12910 13040 13366 20656 25820 26732 33415 51640 52931 53464 66830 103280 105862 106928 133660 210433 211724 264655 267320 420866 423448 529310 534640 841732 846896 1052165 1058620 1683464 2104330 2117240 3366928 4208660 4234480 8417320 8627753 16834640 17255506 34511012 43138765 69022024 86277530 138044048 172555060 345110120 690220240