Search a number
-
+
400920416 = 2513963751
BaseRepresentation
bin10111111001011…
…000111101100000
31000221101212102022
4113321120331200
51310113423131
6103441041012
712635524121
oct2771307540
91027355368
10400920416
11196344496
12b2326168
13650a4520
143b364048
15252e637b
hex17e58f60

400920416 has 24 divisors (see below), whose sum is σ = 850029264. Its totient is φ = 185040000.

The previous prime is 400920379. The next prime is 400920437. The reversal of 400920416 is 614029004.

It is a super-2 number, since 2×4009204162 = 321474359931226112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 481460 + ... + 482291.

It is an arithmetic number, because the mean of its divisors is an integer number (35417886).

Almost surely, 2400920416 is an apocalyptic number.

It is an amenable number.

400920416 is an abundant number, since it is smaller than the sum of its proper divisors (449108848).

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

400920416 is a wasteful number, since it uses less digits than its factorization.

400920416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963774 (or 963766 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 400920416 is about 20022.9971782448. The cubic root of 400920416 is about 737.3710070672.

The spelling of 400920416 in words is "four hundred million, nine hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 963751 1927502 3855004 7710008 12528763 15420016 25057526 30840032 50115052 100230104 200460208 400920416