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247429020 = 2235191271709
BaseRepresentation
bin11101011111101…
…11011110011100
3122020120200210210
432233313132130
51001320212040
640315132420
76063053256
oct1657673634
9566520723
10247429020
111177380a3
126aa44110
133c352407
1424c0acd6
1516ac7480
hexebf779c

247429020 has 96 divisors (see below), whose sum is σ = 735436800. Its totient is φ = 61979904.

The previous prime is 247429003. The next prime is 247429031. The reversal of 247429020 is 20924742.

It is a super-2 number, since 2×2474290202 = 122442239876320800, which contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143926 + ... + 145634.

It is an arithmetic number, because the mean of its divisors is an integer number (7660800).

Almost surely, 2247429020 is an apocalyptic number.

247429020 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 247429020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367718400).

247429020 is an abundant number, since it is smaller than the sum of its proper divisors (488007780).

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

247429020 is a wasteful number, since it uses less digits than its factorization.

247429020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 247429020 is about 15729.8766683023. The cubic root of 247429020 is about 627.7935918143.

The spelling of 247429020 in words is "two hundred forty-seven million, four hundred twenty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 127 190 228 254 285 380 381 508 570 635 762 1140 1270 1524 1709 1905 2413 2540 3418 3810 4826 5127 6836 7239 7620 8545 9652 10254 12065 14478 17090 20508 24130 25635 28956 32471 34180 36195 48260 51270 64942 72390 97413 102540 129884 144780 162355 194826 217043 324710 389652 434086 487065 649420 651129 868172 974130 1085215 1302258 1948260 2170430 2604516 3255645 4123817 4340860 6511290 8247634 12371451 13022580 16495268 20619085 24742902 41238170 49485804 61857255 82476340 123714510 247429020