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245415720 = 233511892089
BaseRepresentation
bin11101010000010…
…11111100101000
3122002210102002010
432220023330220
51000311300340
640204035520
76036666504
oct1650137450
9562712063
10245415720
11116592510
126a232ba0
133bac8c04
1424845304
151682ab80
hexea0bf28

245415720 has 128 divisors (see below), whose sum is σ = 812592000. Its totient is φ = 58798080.

The previous prime is 245415713. The next prime is 245415721. The reversal of 245415720 is 27514542.

245415720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2454157203 (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (245415721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116436 + ... + 118524.

It is an arithmetic number, because the mean of its divisors is an integer number (6348375).

Almost surely, 2245415720 is an apocalyptic number.

245415720 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 245415720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406296000).

245415720 is an abundant number, since it is smaller than the sum of its proper divisors (567176280).

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

245415720 is a wasteful number, since it uses less digits than its factorization.

245415720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 245415720 is about 15665.7499022549. The cubic root of 245415720 is about 626.0861922713.

The spelling of 245415720 in words is "two hundred forty-five million, four hundred fifteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 89 110 120 132 165 178 220 264 267 330 356 440 445 534 660 712 890 979 1068 1320 1335 1780 1958 2089 2136 2670 2937 3560 3916 4178 4895 5340 5874 6267 7832 8356 9790 10445 10680 11748 12534 14685 16712 19580 20890 22979 23496 25068 29370 31335 39160 41780 45958 50136 58740 62670 68937 83560 91916 114895 117480 125340 137874 183832 185921 229790 250680 275748 344685 371842 459580 551496 557763 689370 743684 919160 929605 1115526 1378740 1487368 1859210 2045131 2231052 2757480 2788815 3718420 4090262 4462104 5577630 6135393 7436840 8180524 10225655 11155260 12270786 16361048 20451310 22310520 24541572 30676965 40902620 49083144 61353930 81805240 122707860 245415720