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10423680 = 27356189
BaseRepresentation
bin100111110000…
…110110000000
3201121120121020
4213300312000
510132024210
61011225440
7154412511
oct47606600
921546536
1010423680
11597a513
1235a8280
13220c677
141554a08
15dad770
hex9f0d80

10423680 has 128 divisors (see below), whose sum is σ = 34149600. Its totient is φ = 2703360.

The previous prime is 10423667. The next prime is 10423697. The reversal of 10423680 is 8632401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 10423680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117076 + ... + 117164.

Almost surely, 210423680 is an apocalyptic number.

10423680 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 10423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074800).

10423680 is an abundant number, since it is smaller than the sum of its proper divisors (23725920).

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

10423680 is an equidigital number, since it uses as much as digits as its factorization.

10423680 is an evil number, because the sum of its binary digits is even.

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

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10423680 is about 3228.5724399493. The cubic root of 10423680 is about 218.4441188762. Note that the first 3 decimals are identical.

The spelling of 10423680 in words is "ten million, four hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 89 96 120 122 128 160 178 183 192 240 244 267 305 320 356 366 384 445 480 488 534 610 640 712 732 890 915 960 976 1068 1220 1335 1424 1464 1780 1830 1920 1952 2136 2440 2670 2848 2928 3560 3660 3904 4272 4880 5340 5429 5696 5856 7120 7320 7808 8544 9760 10680 10858 11392 11712 14240 14640 16287 17088 19520 21360 21716 23424 27145 28480 29280 32574 34176 39040 42720 43432 54290 56960 58560 65148 81435 85440 86864 108580 117120 130296 162870 170880 173728 217160 260592 325740 347456 434320 521184 651480 694912 868640 1042368 1302960 1737280 2084736 2605920 3474560 5211840 10423680