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10921400 = 2352729269
BaseRepresentation
bin101001101010…
…010110111000
3202112212100022
4221222112320
510243441100
61030030012
7161554550
oct51522670
922485308
1010921400
11618a456
1237a8308
132355089
141644160
15e5ae85
hexa6a5b8

10921400 has 96 divisors (see below), whose sum is σ = 30132000. Its totient is φ = 3601920.

The previous prime is 10921373. The next prime is 10921403. The reversal of 10921400 is 412901.

It is a happy number.

10921400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10921403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40466 + ... + 40734.

It is an arithmetic number, because the mean of its divisors is an integer number (313875).

Almost surely, 210921400 is an apocalyptic number.

10921400 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 10921400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066000).

10921400 is an abundant number, since it is smaller than the sum of its proper divisors (19210600).

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

10921400 is a wasteful number, since it uses less digits than its factorization.

10921400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 10921400 is about 3304.7541512191. The cubic root of 10921400 is about 221.8670307261.

The spelling of 10921400 in words is "ten million, nine hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 116 140 145 175 200 203 232 269 280 290 350 406 538 580 700 725 812 1015 1076 1160 1345 1400 1450 1624 1883 2030 2152 2690 2900 3766 4060 5075 5380 5800 6725 7532 7801 8120 9415 10150 10760 13450 15064 15602 18830 20300 26900 31204 37660 39005 40600 47075 53800 54607 62408 75320 78010 94150 109214 156020 188300 195025 218428 273035 312040 376600 390050 436856 546070 780100 1092140 1365175 1560200 2184280 2730350 5460700 10921400