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245332640 = 2557317691
BaseRepresentation
bin11101001111101…
…11101010100000
3122002122012010002
432213313222200
51000301121030
640202155132
76036202340
oct1647675240
9562565102
10245332640
11116536053
126a1b2aa8
133ba9a157
1424822d20
1516811245
hexe9f7aa0

245332640 has 96 divisors (see below), whose sum is σ = 665449344. Its totient is φ = 83727360.

The previous prime is 245332609. The next prime is 245332687. The reversal of 245332640 is 46233542.

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, 354695 + ... + 355385.

It is an arithmetic number, because the mean of its divisors is an integer number (6931764).

Almost surely, 2245332640 is an apocalyptic number.

245332640 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 245332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332724672).

245332640 is an abundant number, since it is smaller than the sum of its proper divisors (420116704).

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

245332640 is a wasteful number, since it uses less digits than its factorization.

245332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 245332640 is about 15663.0980332755. The cubic root of 245332640 is about 626.0155351410.

The spelling of 245332640 in words is "two hundred forty-five million, three hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 317 560 634 691 1120 1268 1382 1585 2219 2536 2764 3170 3455 4438 4837 5072 5528 6340 6910 8876 9674 10144 11056 11095 12680 13820 17752 19348 22112 22190 24185 25360 27640 35504 38696 44380 48370 50720 55280 71008 77392 88760 96740 110560 154784 177520 193480 219047 355040 386960 438094 773920 876188 1095235 1533329 1752376 2190470 3066658 3504752 4380940 6133316 7009504 7666645 8761880 12266632 15333290 17523760 24533264 30666580 35047520 49066528 61333160 122666320 245332640