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20274280 = 23513127307
BaseRepresentation
bin100110101010…
…1110001101000
31102011001002021
41031111301220
520142234110
62002314224
7334220455
oct115256150
942131067
1020274280
1110498404
126958974
13427b220
14299a82c
151ba72da
hex1355c68

20274280 has 64 divisors (see below), whose sum is σ = 49674240. Its totient is φ = 7402752.

The previous prime is 20274271. The next prime is 20274283. The reversal of 20274280 is 8247202.

It is a super-2 number, since 2×202742802 = 822092859036800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20274283) 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, 65887 + ... + 66193.

It is an arithmetic number, because the mean of its divisors is an integer number (776160).

Almost surely, 220274280 is an apocalyptic number.

20274280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20274280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837120).

20274280 is an abundant number, since it is smaller than the sum of its proper divisors (29399960).

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

20274280 is a wasteful number, since it uses less digits than its factorization.

20274280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 20274280 is about 4502.6969695950. The cubic root of 20274280 is about 272.6769829159.

It can be divided in two parts, 202742 and 80, that multiplied together give a triangular number (16219360 = T5695).

The spelling of 20274280 in words is "twenty million, two hundred seventy-four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 127 130 254 260 307 508 520 614 635 1016 1228 1270 1535 1651 2456 2540 3070 3302 3991 5080 6140 6604 7982 8255 12280 13208 15964 16510 19955 31928 33020 38989 39910 66040 77978 79820 155956 159640 194945 311912 389890 506857 779780 1013714 1559560 2027428 2534285 4054856 5068570 10137140 20274280