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405925020 = 223451271973
BaseRepresentation
bin11000001100011…
…110110010011100
31001021211010110000
4120030132302130
51312404100040
6104140214300
713026206604
oct3014366234
91037733400
10405925020
11199152526
12b3b3a390
1366137427
143bca7c04
1525984130
hex1831ec9c

405925020 has 120 divisors (see below), whose sum is σ = 1284079104. Its totient is φ = 107339904.

The previous prime is 405925019. The next prime is 405925027. The reversal of 405925020 is 20529504.

405925020 is a `hidden beast` number, since 4 + 0 + 592 + 50 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405925027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 204754 + ... + 206726.

Almost surely, 2405925020 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 405925020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642039552).

405925020 is an abundant number, since it is smaller than the sum of its proper divisors (878154084).

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

405925020 is a wasteful number, since it uses less digits than its factorization.

405925020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 405925020 is about 20147.5809962387. The cubic root of 405925020 is about 740.4264768342.

The spelling of 405925020 in words is "four hundred five million, nine hundred twenty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 127 135 162 180 254 270 324 381 405 508 540 635 762 810 1143 1270 1524 1620 1905 1973 2286 2540 3429 3810 3946 4572 5715 5919 6858 7620 7892 9865 10287 11430 11838 13716 17145 17757 19730 20574 22860 23676 29595 34290 35514 39460 41148 51435 53271 59190 68580 71028 88785 102870 106542 118380 159813 177570 205740 213084 250571 266355 319626 355140 501142 532710 639252 751713 799065 1002284 1065420 1252855 1503426 1598130 2255139 2505710 3006852 3196260 3758565 4510278 5011420 6765417 7517130 9020556 11275695 13530834 15034260 20296251 22551390 27061668 33827085 40592502 45102780 67654170 81185004 101481255 135308340 202962510 405925020