Search a number
-
+
10096080 = 2435233159
BaseRepresentation
bin100110100000…
…110111010000
3200222221012220
4212200313100
510041033310
61000221040
7151546431
oct46406720
920887186
1010096080
115776375
12346a780
132126517
1414ab488
15d46670
hex9a0dd0

10096080 has 160 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 2449920.

The previous prime is 10096063. The next prime is 10096081. The reversal of 10096080 is 8069001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10096080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10096081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171091 + ... + 171149.

It is an arithmetic number, because the mean of its divisors is an integer number (214272).

Almost surely, 210096080 is an apocalyptic number.

10096080 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 10096080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

10096080 is an abundant number, since it is smaller than the sum of its proper divisors (24187440).

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

10096080 is a wasteful number, since it uses less digits than its factorization.

10096080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10096080 is about 3177.4329261213. The cubic root of 10096080 is about 216.1312645209.

The spelling of 10096080 in words is "ten million, ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 31 40 46 48 59 60 62 69 80 92 93 115 118 120 124 138 155 177 184 186 230 236 240 248 276 295 310 345 354 368 372 460 465 472 496 552 590 620 690 708 713 744 885 920 930 944 1104 1180 1240 1357 1380 1416 1426 1488 1770 1829 1840 1860 2139 2360 2480 2714 2760 2832 2852 3540 3565 3658 3720 4071 4278 4720 5428 5487 5520 5704 6785 7080 7130 7316 7440 8142 8556 9145 10695 10856 10974 11408 13570 14160 14260 14632 16284 17112 18290 20355 21390 21712 21948 27140 27435 28520 29264 32568 34224 36580 40710 42067 42780 43896 54280 54870 57040 65136 73160 81420 84134 85560 87792 108560 109740 126201 146320 162840 168268 171120 210335 219480 252402 325680 336536 420670 438960 504804 631005 673072 841340 1009608 1262010 1682680 2019216 2524020 3365360 5048040 10096080