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245773640 = 23571515813
BaseRepresentation
bin11101010011000…
…11010101001000
3122010110121001102
432221203111020
51000404224030
640215440532
76043020140
oct1651432510
9563417042
10245773640
11116807412
126a386148
133bbc2ab8
14248d9920
151689bc45
hexea63548

245773640 has 64 divisors (see below), whose sum is σ = 636284160. Its totient is φ = 83692800.

The previous prime is 245773631. The next prime is 245773651. The reversal of 245773640 is 46377542.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 245773594 and 245773603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39374 + ... + 45186.

It is an arithmetic number, because the mean of its divisors is an integer number (9941940).

Almost surely, 2245773640 is an apocalyptic number.

245773640 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 245773640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318142080).

245773640 is an abundant number, since it is smaller than the sum of its proper divisors (390510520).

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

245773640 is a wasteful number, since it uses less digits than its factorization.

245773640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The square root of 245773640 is about 15677.1693873607. The cubic root of 245773640 is about 626.3904106527.

The spelling of 245773640 in words is "two hundred forty-five million, seven hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 151 280 302 604 755 1057 1208 1510 2114 3020 4228 5285 5813 6040 8456 10570 11626 21140 23252 29065 40691 42280 46504 58130 81382 116260 162764 203455 232520 325528 406910 813820 877763 1627640 1755526 3511052 4388815 6144341 7022104 8777630 12288682 17555260 24577364 30721705 35110520 49154728 61443410 122886820 245773640