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405020520 = 23335375019
BaseRepresentation
bin11000001001000…
…001111101101000
31001020010011201000
4120021001331220
51312141124040
6104104555000
713015421562
oct3011017550
91036104630
10405020520
11198694a03
12b3782a60
1365bab818
143bb10332
1525856130
hex18241f68

405020520 has 64 divisors (see below), whose sum is σ = 1350072000. Its totient is φ = 108005184.

The previous prime is 405020519. The next prime is 405020531. The reversal of 405020520 is 25020504.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 405020493 and 405020502.

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, 186430 + ... + 188589.

It is an arithmetic number, because the mean of its divisors is an integer number (21094875).

Almost surely, 2405020520 is an apocalyptic number.

405020520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405020520 is an abundant number, since it is smaller than the sum of its proper divisors (945051480).

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

405020520 is a wasteful number, since it uses less digits than its factorization.

405020520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375039 (or 375029 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 405020520 is about 20125.1216145394. The cubic root of 405020520 is about 739.8761175626.

The spelling of 405020520 in words is "four hundred five million, twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 375019 750038 1125057 1500076 1875095 2250114 3000152 3375171 3750190 4500228 5625285 6750342 7500380 9000456 10125513 11250570 13500684 15000760 16875855 20251026 22501140 27001368 33751710 40502052 45002280 50627565 67503420 81004104 101255130 135006840 202510260 405020520