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13451940 = 2233529859
BaseRepresentation
bin110011010100…
…001010100100
3221022102121000
4303110022210
511420430230
61200153300
7222224325
oct63241244
927272530
1013451940
117658707
124608830
132a2cb38
141b0244c
1512aab60
hexcd42a4

13451940 has 96 divisors (see below), whose sum is σ = 43344000. Its totient is φ = 3459456.

The previous prime is 13451909. The next prime is 13451953. The reversal of 13451940 is 4915431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15231 + ... + 16089.

It is an arithmetic number, because the mean of its divisors is an integer number (451500).

Almost surely, 213451940 is an apocalyptic number.

13451940 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 13451940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21672000).

13451940 is an abundant number, since it is smaller than the sum of its proper divisors (29892060).

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

13451940 is a wasteful number, since it uses less digits than its factorization.

13451940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13451940 is about 3667.6886454551. The cubic root of 13451940 is about 237.8272644418.

The spelling of 13451940 in words is "thirteen million, four hundred fifty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 859 870 1044 1305 1566 1718 1740 2577 2610 3132 3436 3915 4295 5154 5220 7731 7830 8590 10308 12885 15462 15660 17180 23193 24911 25770 30924 38655 46386 49822 51540 74733 77310 92772 99644 115965 124555 149466 154620 224199 231930 249110 298932 373665 448398 463860 498220 672597 747330 896796 1120995 1345194 1494660 2241990 2690388 3362985 4483980 6725970 13451940