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399107120 = 24541271449
BaseRepresentation
bin10111110010011…
…110010000110000
31000210222202001012
4113302132100300
51304132411440
6103334130052
712614232416
oct2762362060
91023882035
10399107120
111953160a5
12b17b0928
13648bb079
143b0112b6
1525088e65
hex17c9e430

399107120 has 80 divisors (see below), whose sum is σ = 956188800. Its totient is φ = 154828800.

The previous prime is 399107101. The next prime is 399107129. The reversal of 399107120 is 21701993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (399107129) 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, 888656 + ... + 889104.

It is an arithmetic number, because the mean of its divisors is an integer number (11952360).

Almost surely, 2399107120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399107120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478094400).

399107120 is an abundant number, since it is smaller than the sum of its proper divisors (557081680).

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

399107120 is a wasteful number, since it uses less digits than its factorization.

399107120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 399107120 is about 19977.6655292854. The cubic root of 399107120 is about 736.2576582921.

The spelling of 399107120 in words is "three hundred ninety-nine million, one hundred seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 271 328 410 449 542 656 820 898 1084 1355 1640 1796 2168 2245 2710 3280 3592 4336 4490 5420 7184 8980 10840 11111 17960 18409 21680 22222 35920 36818 44444 55555 73636 88888 92045 111110 121679 147272 177776 184090 222220 243358 294544 368180 444440 486716 608395 736360 888880 973432 1216790 1472720 1946864 2433580 4867160 4988839 9734320 9977678 19955356 24944195 39910712 49888390 79821424 99776780 199553560 399107120