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10069620 = 22351121973
BaseRepresentation
bin100110011010…
…011001110100
3200221120220220
4212122121310
510034211440
6555454340
7151406331
oct46323164
920846826
1010069620
115758500
1234573b0
132117472
1414a1988
15d3d8d0
hex99a674

10069620 has 144 divisors (see below), whose sum is σ = 33069120. Its totient is φ = 2280960.

The previous prime is 10069603. The next prime is 10069621. The reversal of 10069620 is 2696001.

10069620 = T200 + T201 + ... + T408.

10069620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10069621) 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, 137904 + ... + 137976.

Almost surely, 210069620 is an apocalyptic number.

10069620 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 10069620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16534560).

10069620 is an abundant number, since it is smaller than the sum of its proper divisors (22999500).

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

10069620 is a wasteful number, since it uses less digits than its factorization.

10069620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 10069620 is about 3173.2664558779. The cubic root of 10069620 is about 215.9422856777.

The spelling of 10069620 in words is "ten million, sixty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 73 76 95 110 114 121 132 146 165 190 209 219 220 228 242 285 292 330 363 365 380 418 438 484 570 605 627 660 726 730 803 836 876 1045 1095 1140 1210 1254 1387 1452 1460 1606 1815 2090 2190 2299 2409 2420 2508 2774 3135 3212 3630 4015 4161 4180 4380 4598 4818 5548 6270 6897 6935 7260 8030 8322 8833 9196 9636 11495 12045 12540 13794 13870 15257 16060 16644 17666 20805 22990 24090 26499 27588 27740 30514 34485 35332 41610 44165 45771 45980 48180 52998 61028 68970 76285 83220 88330 91542 105996 132495 137940 152570 167827 176660 183084 228855 264990 305140 335654 457710 503481 529980 671308 839135 915420 1006962 1678270 2013924 2517405 3356540 5034810 10069620