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10234680 = 23351729173
BaseRepresentation
bin100111000010…
…101100111000
3201020222100020
4213002230320
510110002210
61003210440
7152664501
oct47025470
921228306
1010234680
115860515
123516a20
132174631
141505ba8
15d72770
hex9c2b38

10234680 has 128 divisors (see below), whose sum is σ = 33825600. Its totient is φ = 2465792.

The previous prime is 10234669. The next prime is 10234691. The reversal of 10234680 is 8643201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10234669) and next prime (10234691).

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 10234680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59074 + ... + 59246.

Almost surely, 210234680 is an apocalyptic number.

10234680 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 10234680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912800).

10234680 is an abundant number, since it is smaller than the sum of its proper divisors (23590920).

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

10234680 is a wasteful number, since it uses less digits than its factorization.

10234680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

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

The square root of 10234680 is about 3199.1686420069. The cubic root of 10234680 is about 217.1157968192.

Adding to 10234680 its reverse (8643201), we get a palindrome (18877881).

The spelling of 10234680 in words is "ten million, two hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 29 30 34 40 51 58 60 68 85 87 102 116 120 136 145 170 173 174 204 232 255 290 340 346 348 408 435 493 510 519 580 680 692 696 865 870 986 1020 1038 1160 1384 1479 1730 1740 1972 2040 2076 2465 2595 2941 2958 3460 3480 3944 4152 4930 5017 5190 5882 5916 6920 7395 8823 9860 10034 10380 11764 11832 14705 14790 15051 17646 19720 20068 20760 23528 25085 29410 29580 30102 35292 40136 44115 50170 58820 59160 60204 70584 75255 85289 88230 100340 117640 120408 150510 170578 176460 200680 255867 301020 341156 352920 426445 511734 602040 682312 852890 1023468 1279335 1705780 2046936 2558670 3411560 5117340 10234680