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400121040 = 243511151561
BaseRepresentation
bin10111110110010…
…101110011010000
31000212220020212210
4113312111303100
51304412333130
6103411552120
712625654434
oct2766256320
91025806783
10400121040
11195948950
12b1bbb640
1364b84717
143b1d69c4
15251d95b0
hex17d95cd0

400121040 has 80 divisors (see below), whose sum is σ = 1353145536. Its totient is φ = 96998400.

The previous prime is 400121039. The next prime is 400121069. The reversal of 400121040 is 40121004.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 73141 + ... + 78420.

Almost surely, 2400121040 is an apocalyptic number.

400121040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400121040 is an abundant number, since it is smaller than the sum of its proper divisors (953024496).

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

400121040 is a wasteful number, since it uses less digits than its factorization.

400121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151588 (or 151582 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 400121040 is about 20003.0257711177. The cubic root of 400121040 is about 736.8806114284.

Adding to 400121040 its reverse (40121004), we get a palindrome (440242044).

The spelling of 400121040 in words is "four hundred million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 151561 303122 454683 606244 757805 909366 1212488 1515610 1667171 1818732 2273415 2424976 3031220 3334342 3637464 4546830 5001513 6062440 6668684 7274928 8335855 9093660 10003026 12124880 13337368 16671710 18187320 20006052 25007565 26674736 33343420 36374640 40012104 50015130 66686840 80024208 100030260 133373680 200060520 400121040