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103954920 = 23357311867
BaseRepresentation
bin1100011001000…
…11100111101000
321020121110100020
412030203213220
5203103024140
614152040440
72401413366
oct614434750
9236543306
10103954920
1153752963
122a993120
13186c99b4
14db40636
1591d66d0
hex63239e8

103954920 has 64 divisors (see below), whose sum is σ = 316163520. Its totient is φ = 27339264.

The previous prime is 103954901. The next prime is 103954931. The reversal of 103954920 is 29459301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2827 + ... + 14693.

It is an arithmetic number, because the mean of its divisors is an integer number (4940055).

Almost surely, 2103954920 is an apocalyptic number.

103954920 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 103954920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158081760).

103954920 is an abundant number, since it is smaller than the sum of its proper divisors (212208600).

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

103954920 is a wasteful number, since it uses less digits than its factorization.

103954920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11954 (or 11950 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 103954920 is about 10195.8285587783. The cubic root of 103954920 is about 470.1989801808.

The spelling of 103954920 in words is "one hundred three million, nine hundred fifty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 11867 23734 35601 47468 59335 71202 94936 118670 142404 178005 237340 284808 356010 474680 712020 866291 1424040 1732582 2598873 3465164 4331455 5197746 6930328 8662910 10395492 12994365 17325820 20790984 25988730 34651640 51977460 103954920