[go: up one dir, main page]

Search a number
-
+
690379200 = 2634527761
BaseRepresentation
bin101001001001100…
…101100111000000
31210010001220020000
4221021211213000
52403214113300
6152301120000
723052061230
oct5111454700
91703056200
10690379200
11324779125
12173259000
13b0051304
1467991cc0
1540921c00
hex292659c0

690379200 has 420 divisors, whose sum is σ = 2903994192. Its totient is φ = 157593600.

The previous prime is 690379187. The next prime is 690379213. The reversal of 690379200 is 2973096.

It is an interprime number because it is at equal distance from previous prime (690379187) and next prime (690379213).

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 906820 + ... + 907580.

Almost surely, 2690379200 is an apocalyptic number.

690379200 is a gapful number since it is divisible by the number (60) 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 690379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451997096).

690379200 is an abundant number, since it is smaller than the sum of its proper divisors (2213614992).

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

690379200 is a wasteful number, since it uses less digits than its factorization.

690379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 690379200 is about 26275.0680303591. The cubic root of 690379200 is about 883.8174380549.

The spelling of 690379200 in words is "six hundred ninety million, three hundred seventy-nine thousand, two hundred".