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400614540 = 223537181997
BaseRepresentation
bin10111111000001…
…110010010001100
31000220211022211120
4113320032102030
51310024131130
6103430320540
712633111264
oct2770162214
91026738746
10400614540
111961556a7
12b21b9150
1364cc8231
143b2c47a4
1525285910
hex17e0e48c

400614540 has 96 divisors (see below), whose sum is σ = 1159564224. Its totient is φ = 103265280.

The previous prime is 400614509. The next prime is 400614551. The reversal of 400614540 is 45416004.

It is a self number, because there is not a number n which added to its sum of digits gives 400614540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401322 + ... + 402318.

It is an arithmetic number, because the mean of its divisors is an integer number (12078794).

Almost surely, 2400614540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400614540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579782112).

400614540 is an abundant number, since it is smaller than the sum of its proper divisors (758949684).

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

400614540 is a wasteful number, since it uses less digits than its factorization.

400614540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 400614540 is about 20015.3576036003. The cubic root of 400614540 is about 737.1834374417.

The spelling of 400614540 in words is "four hundred million, six hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 181 185 222 362 370 444 543 555 724 740 905 997 1086 1110 1810 1994 2172 2220 2715 2991 3620 3988 4985 5430 5982 6697 9970 10860 11964 13394 14955 19940 20091 26788 29910 33485 36889 40182 59820 66970 73778 80364 100455 110667 133940 147556 180457 184445 200910 221334 360914 368890 401820 442668 541371 553335 721828 737780 902285 1082742 1106670 1804570 2165484 2213340 2706855 3609140 5413710 6676909 10827420 13353818 20030727 26707636 33384545 40061454 66769090 80122908 100153635 133538180 200307270 400614540