Search a number
-
+
10549920 = 253531709
BaseRepresentation
bin101000001111…
…101010100000
3201211222202210
4220033222200
510200044140
61014042120
7155446533
oct50175240
921758683
1010549920
115a56347
123649340
132254c74
141588a1a
15dd5d80
hexa0faa0

10549920 has 96 divisors (see below), whose sum is σ = 34352640. Its totient is φ = 2718720.

The previous prime is 10549919. The next prime is 10549927. The reversal of 10549920 is 2994501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105499202 = 222601624012800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (10549927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14526 + ... + 15234.

It is an arithmetic number, because the mean of its divisors is an integer number (357840).

Almost surely, 210549920 is an apocalyptic number.

10549920 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 10549920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176320).

10549920 is an abundant number, since it is smaller than the sum of its proper divisors (23802720).

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

10549920 is a wasteful number, since it uses less digits than its factorization.

10549920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 10549920 is about 3248.0640387776. The cubic root of 10549920 is about 219.3224332455.

The spelling of 10549920 in words is "ten million, five hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 709 744 930 992 1240 1418 1488 1860 2127 2480 2836 2976 3545 3720 4254 4960 5672 7090 7440 8508 10635 11344 14180 14880 17016 21270 21979 22688 28360 34032 42540 43958 56720 65937 68064 85080 87916 109895 113440 131874 170160 175832 219790 263748 329685 340320 351664 439580 527496 659370 703328 879160 1054992 1318740 1758320 2109984 2637480 3516640 5274960 10549920