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245404680 = 233531411609
BaseRepresentation
bin11101010000010…
…01010000001000
3122002202211221020
432220021100020
51000310422210
640203512440
76036622353
oct1650112010
9562684836
10245404680
11116585194
126a228720
133bac3b91
142484129a
1516827770
hexea09408

245404680 has 128 divisors (see below), whose sum is σ = 778982400. Its totient is φ = 61747200.

The previous prime is 245404669. The next prime is 245404693. The reversal of 245404680 is 86404542.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151716 + ... + 153324.

It is an arithmetic number, because the mean of its divisors is an integer number (6085800).

Almost surely, 2245404680 is an apocalyptic number.

245404680 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 245404680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389491200).

245404680 is an abundant number, since it is smaller than the sum of its proper divisors (533577720).

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

245404680 is a wasteful number, since it uses less digits than its factorization.

245404680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 245404680 is about 15665.3975372475. The cubic root of 245404680 is about 626.0768039903.

The spelling of 245404680 in words is "two hundred forty-five million, four hundred four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 41 60 62 82 93 120 123 124 155 164 186 205 246 248 310 328 372 410 465 492 615 620 744 820 930 984 1230 1240 1271 1609 1640 1860 2460 2542 3218 3720 3813 4827 4920 5084 6355 6436 7626 8045 9654 10168 12710 12872 15252 16090 19065 19308 24135 25420 30504 32180 38130 38616 48270 49879 50840 64360 65969 76260 96540 99758 131938 149637 152520 193080 197907 199516 249395 263876 299274 329845 395814 399032 498790 527752 598548 659690 748185 791628 989535 997580 1197096 1319380 1496370 1583256 1979070 1995160 2045039 2638760 2992740 3958140 4090078 5985480 6135117 7916280 8180156 10225195 12270234 16360312 20450390 24540468 30675585 40900780 49080936 61351170 81801560 122702340 245404680