Search a number
-
+
399703680 = 2733523131
BaseRepresentation
bin10111110100101…
…111111010000000
31000212010001101000
4113310233322000
51304311004210
6103355012000
712622265565
oct2764577200
91025101330
10399703680
11195693322
12b1a3a000
1364a6976c
143b12886c
1525155ac0
hex17d2fe80

399703680 has 128 divisors (see below), whose sum is σ = 1415678400. Its totient is φ = 106583040.

The previous prime is 399703657. The next prime is 399703691. The reversal of 399703680 is 86307993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5715 + ... + 28845.

Almost surely, 2399703680 is an apocalyptic number.

399703680 is a gapful number since it is divisible by the number (30) 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 399703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707839200).

399703680 is an abundant number, since it is smaller than the sum of its proper divisors (1015974720).

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

399703680 is a wasteful number, since it uses less digits than its factorization.

399703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23159 (or 23141 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 399703680 is about 19992.5906275300. The cubic root of 399703680 is about 736.6243127464.

The spelling of 399703680 in words is "three hundred ninety-nine million, seven hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 23131 46262 69393 92524 115655 138786 185048 208179 231310 277572 346965 370096 416358 462620 555144 624537 693930 740192 832716 925240 1040895 1110288 1249074 1387860 1480384 1665432 1850480 2081790 2220576 2498148 2775720 2960768 3122685 3330864 3700960 4163580 4441152 4996296 5551440 6245370 6661728 7401920 8327160 8882304 9992592 11102880 12490740 13323456 14803840 16654320 19985184 22205760 24981480 26646912 33308640 39970368 44411520 49962960 66617280 79940736 99925920 133234560 199851840 399703680