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245424720 = 243523173257
BaseRepresentation
bin11101010000011…
…10001001010000
3122002210212102110
432220032021100
51000312042340
640204145320
76040034652
oct1650161120
9562725373
10245424720
11116599252
126a238240
133bb00038
14248486d2
151682d680
hexea0e250

245424720 has 160 divisors (see below), whose sum is σ = 801591552. Its totient is φ = 61997056.

The previous prime is 245424713. The next prime is 245424731. The reversal of 245424720 is 27424542.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954832 + ... + 955088.

Almost surely, 2245424720 is an apocalyptic number.

245424720 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 245424720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400795776).

245424720 is an abundant number, since it is smaller than the sum of its proper divisors (556166832).

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

245424720 is a wasteful number, since it uses less digits than its factorization.

245424720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 245424720 is about 15666.0371504730. The cubic root of 245424720 is about 626.0938455529.

The spelling of 245424720 in words is "two hundred forty-five million, four hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 173 184 230 240 257 276 345 346 368 460 514 519 552 690 692 771 865 920 1028 1038 1104 1285 1380 1384 1542 1730 1840 2056 2076 2570 2595 2760 2768 3084 3460 3855 3979 4112 4152 5140 5190 5520 5911 6168 6920 7710 7958 8304 10280 10380 11822 11937 12336 13840 15420 15916 17733 19895 20560 20760 23644 23874 29555 30840 31832 35466 39790 41520 44461 47288 47748 59110 59685 61680 63664 70932 79580 88665 88922 94576 95496 118220 119370 133383 141864 159160 177330 177844 190992 222305 236440 238740 266766 283728 318320 354660 355688 444610 472880 477480 533532 666915 709320 711376 889220 954960 1022603 1067064 1333830 1418640 1778440 2045206 2134128 2667660 3067809 3556880 4090412 5113015 5335320 6135618 8180824 10226030 10670640 12271236 15339045 16361648 20452060 24542472 30678090 40904120 49084944 61356180 81808240 122712360 245424720