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10634240 = 21053167
BaseRepresentation
bin101000100100…
…010000000000
3202000021102202
4220210100000
510210243430
61015532332
7156250421
oct50442000
922007382
1010634240
116003731
12368a0a8
132284466
1415ab648
15e00d45
hexa24400

10634240 has 88 divisors (see below), whose sum is σ = 26725632. Its totient is φ = 4055040.

The previous prime is 10634237. The next prime is 10634249. The reversal of 10634240 is 4243601.

It is a happy number.

It is a super-2 number, since 2×106342402 = 226174120755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10634249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158687 + ... + 158753.

Almost surely, 210634240 is an apocalyptic number.

10634240 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 10634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13362816).

10634240 is an abundant number, since it is smaller than the sum of its proper divisors (16091392).

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

10634240 is an equidigital number, since it uses as much as digits as its factorization.

10634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 10634240 is about 3261.0182458858. The cubic root of 10634240 is about 219.9051933097.

Adding to 10634240 its reverse (4243601), we get a palindrome (14877841).

The spelling of 10634240 in words is "ten million, six hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 67 80 124 128 134 155 160 248 256 268 310 320 335 496 512 536 620 640 670 992 1024 1072 1240 1280 1340 1984 2077 2144 2480 2560 2680 3968 4154 4288 4960 5120 5360 7936 8308 8576 9920 10385 10720 15872 16616 17152 19840 20770 21440 31744 33232 34304 39680 41540 42880 66464 68608 79360 83080 85760 132928 158720 166160 171520 265856 332320 343040 531712 664640 1063424 1329280 2126848 2658560 5317120 10634240