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10096200 = 2332527179
BaseRepresentation
bin100110100000…
…111001001000
3200222221101100
4212200321020
510041034300
61000221400
7151546662
oct46407110
920887340
1010096200
115776474
12346a860
1321265aa
1414ab532
15d46700
hex9a0e48

10096200 has 144 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 2620800.

The previous prime is 10096193. The next prime is 10096217. The reversal of 10096200 is 269001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127761 + ... + 127839.

It is an arithmetic number, because the mean of its divisors is an integer number (241800).

Almost surely, 210096200 is an apocalyptic number.

10096200 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 10096200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

10096200 is an abundant number, since it is smaller than the sum of its proper divisors (24723000).

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

10096200 is a wasteful number, since it uses less digits than its factorization.

10096200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10096200 is about 3177.4518092333. The cubic root of 10096200 is about 216.1321208152.

It can be divided in two parts, 10096 and 200, that added together give a triangular number (10296 = T143).

The spelling of 10096200 in words is "ten million, ninety-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 71 72 75 79 90 100 120 142 150 158 180 200 213 225 237 284 300 316 355 360 395 426 450 474 568 600 632 639 710 711 790 852 900 948 1065 1185 1278 1420 1422 1580 1704 1775 1800 1896 1975 2130 2370 2556 2840 2844 3160 3195 3550 3555 3950 4260 4740 5112 5325 5609 5688 5925 6390 7100 7110 7900 8520 9480 10650 11218 11850 12780 14200 14220 15800 15975 16827 17775 21300 22436 23700 25560 28045 28440 31950 33654 35550 42600 44872 47400 50481 56090 63900 67308 71100 84135 100962 112180 127800 134616 140225 142200 168270 201924 224360 252405 280450 336540 403848 420675 504810 560900 673080 841350 1009620 1121800 1262025 1682700 2019240 2524050 3365400 5048100 10096200