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405020680 = 235107173547
BaseRepresentation
bin11000001001000…
…010000000001000
31001020010011220221
4120021002000020
51312141130210
6104104555424
713015422211
oct3011020010
91036104827
10405020680
11198695039
12b3782b74
1365bab90c
143bb10408
15258561da
hex18242008

405020680 has 64 divisors (see below), whose sum is σ = 926821440. Its totient is φ = 159274752.

The previous prime is 405020677. The next prime is 405020683. The reversal of 405020680 is 86020504.

It is an interprime number because it is at equal distance from previous prime (405020677) and next prime (405020683).

It is not an unprimeable number, because it can be changed into a prime (405020683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 740167 + ... + 740713.

It is an arithmetic number, because the mean of its divisors is an integer number (14481585).

Almost surely, 2405020680 is an apocalyptic number.

405020680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405020680 is an abundant number, since it is smaller than the sum of its proper divisors (521800760).

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

405020680 is a wasteful number, since it uses less digits than its factorization.

405020680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 405020680 is about 20125.1255896702. The cubic root of 405020680 is about 739.8762149899.

The spelling of 405020680 in words is "four hundred five million, twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 107 173 214 346 428 535 547 692 856 865 1070 1094 1384 1730 2140 2188 2735 3460 4280 4376 5470 6920 10940 18511 21880 37022 58529 74044 92555 94631 117058 148088 185110 189262 234116 292645 370220 378524 468232 473155 585290 740440 757048 946310 1170580 1892620 2341160 3785240 10125517 20251034 40502068 50627585 81004136 101255170 202510340 405020680