Search a number
-
+
401616120 = 23353346801
BaseRepresentation
bin10111111100000…
…010110011111000
31000222201012202010
4113330002303320
51310303203440
6103504005520
712644452323
oct2774026370
91028635663
10401616120
1119677a154
12b26008a0
1365289099
143b4a57ba
15253d2580
hex17f02cf8

401616120 has 32 divisors (see below), whose sum is σ = 1204848720. Its totient is φ = 107097600.

The previous prime is 401616101. The next prime is 401616151. The reversal of 401616120 is 21616104.

It is a super-2 number, since 2×4016161202 = 322591015687708800, which contains 22 as substring.

It is a congruent number.

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, 1673281 + ... + 1673520.

Almost surely, 2401616120 is an apocalyptic number.

401616120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401616120 is an abundant number, since it is smaller than the sum of its proper divisors (803232600).

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

401616120 is a wasteful number, since it uses less digits than its factorization.

401616120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346815 (or 3346811 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 401616120 is about 20040.3622721746. The cubic root of 401616120 is about 737.7972724791.

The spelling of 401616120 in words is "four hundred one million, six hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3346801 6693602 10040403 13387204 16734005 20080806 26774408 33468010 40161612 50202015 66936020 80323224 100404030 133872040 200808060 401616120