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20295840 = 253542283
BaseRepresentation
bin100110101101…
…1000010100000
31102012010122210
41031123002200
520143431330
62003002120
7334340355
oct115330240
942163583
1020295840
1110502624
126969340
134287c96
1429a462c
151bad8b0
hex135b0a0

20295840 has 48 divisors (see below), whose sum is σ = 63933408. Its totient is φ = 5412096.

The previous prime is 20295839. The next prime is 20295881. The reversal of 20295840 is 4859202.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×202958402 = 823842242611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20295798 and 20295807.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20662 + ... + 21621.

It is an arithmetic number, because the mean of its divisors is an integer number (1331946).

Almost surely, 220295840 is an apocalyptic number.

20295840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20295840 is an abundant number, since it is smaller than the sum of its proper divisors (43637568).

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

20295840 is a wasteful number, since it uses less digits than its factorization.

20295840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42301 (or 42293 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 20295840 is about 4505.0904541418. The cubic root of 20295840 is about 272.7736050577.

The spelling of 20295840 in words is "twenty million, two hundred ninety-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 42283 84566 126849 169132 211415 253698 338264 422830 507396 634245 676528 845660 1014792 1268490 1353056 1691320 2029584 2536980 3382640 4059168 5073960 6765280 10147920 20295840