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124180420 = 22571331271
BaseRepresentation
bin1110110011011…
…01011111000100
322122200000111211
413121231133010
5223242233140
620153341204
73035342020
oct731553704
9278600454
10124180420
1164107651
1235707804
131c95b950
14126c7380
15ad7e2ea
hex766d7c4

124180420 has 144 divisors (see below), whose sum is σ = 336317184. Its totient is φ = 37497600.

The previous prime is 124180403. The next prime is 124180429. The reversal of 124180420 is 24081421.

It is a super-2 number, since 2×1241804202 = 30841553422752800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 124180391 and 124180400.

It is not an unprimeable number, because it can be changed into a prime (124180429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1748985 + ... + 1749055.

It is an arithmetic number, because the mean of its divisors is an integer number (2335536).

Almost surely, 2124180420 is an apocalyptic number.

124180420 is a gapful number since it is divisible by the number (10) 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 124180420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168158592).

124180420 is an abundant number, since it is smaller than the sum of its proper divisors (212136764).

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

124180420 is a wasteful number, since it uses less digits than its factorization.

124180420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 124180420 is about 11143.6268781757. The cubic root of 124180420 is about 498.9048296217.

The spelling of 124180420 in words is "one hundred twenty-four million, one hundred eighty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 71 91 124 130 140 142 155 182 217 260 284 310 355 364 403 434 455 497 620 710 806 868 910 923 961 994 1085 1420 1612 1820 1846 1922 1988 2015 2170 2201 2485 2821 3692 3844 4030 4340 4402 4615 4805 4970 5642 6461 6727 8060 8804 9230 9610 9940 11005 11284 12493 12922 13454 14105 15407 18460 19220 22010 24986 25844 26908 28210 28613 30814 32305 33635 44020 49972 56420 57226 61628 62465 64610 67270 68231 77035 87451 114452 124930 129220 134540 136462 143065 154070 174902 200291 249860 272924 286130 308140 341155 349804 400582 437255 477617 572260 682310 801164 874510 887003 955234 1001455 1364620 1749020 1774006 1910468 2002910 2388085 3548012 4005820 4435015 4776170 6209021 8870030 9552340 12418042 17740060 24836084 31045105 62090210 124180420