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3676920 = 2335132357
BaseRepresentation
bin1110000001101011111000
320220210210020
432001223320
51420130140
6210450440
743152612
oct16015370
96823706
103676920
112091585
121293a20
139b97c0
146b9db2
154c96d0
hex381af8

3676920 has 64 divisors (see below), whose sum is σ = 11884320. Its totient is φ = 904704.

The previous prime is 3676909. The next prime is 3676927. The reversal of 3676920 is 296763.

3676920 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 (3676927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382 + ... + 2738.

Almost surely, 23676920 is an apocalyptic number.

3676920 is a gapful number since it is divisible by the number (30) 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 3676920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942160).

3676920 is an abundant number, since it is smaller than the sum of its proper divisors (8207400).

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

3676920 is a wasteful number, since it uses less digits than its factorization.

3676920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 3676920 is about 1917.5296607875. The cubic root of 3676920 is about 154.3457683128.

The spelling of 3676920 in words is "three million, six hundred seventy-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2357 4714 7071 9428 11785 14142 18856 23570 28284 30641 35355 47140 56568 61282 70710 91923 94280 122564 141420 153205 183846 245128 282840 306410 367692 459615 612820 735384 919230 1225640 1838460 3676920