Search a number
-
+
398051680 = 25513296599
BaseRepresentation
bin10111101110011…
…100100101100000
31000202000010020211
4113232130211200
51303400123210
6103255343504
712602245345
oct2756344540
91022003224
10398051680
11194765134
12b1381b94
136460b850
143ac187cc
1524e2b38a
hex17b9c960

398051680 has 96 divisors (see below), whose sum is σ = 1047816000. Its totient is φ = 141883392.

The previous prime is 398051671. The next prime is 398051707. The reversal of 398051680 is 86150893.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 57021 + ... + 63619.

It is an arithmetic number, because the mean of its divisors is an integer number (10914750).

Almost surely, 2398051680 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 398051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523908000).

398051680 is an abundant number, since it is smaller than the sum of its proper divisors (649764320).

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

398051680 is a wasteful number, since it uses less digits than its factorization.

398051680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6648 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 398051680 is about 19951.2325433794. The cubic root of 398051680 is about 735.6080734688.

The spelling of 398051680 in words is "three hundred ninety-eight million, fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 208 232 260 290 377 416 464 520 580 754 928 1040 1160 1508 1885 2080 2320 3016 3770 4640 6032 6599 7540 12064 13198 15080 26396 30160 32995 52792 60320 65990 85787 105584 131980 171574 191371 211168 263960 343148 382742 428935 527920 686296 765484 857870 956855 1055840 1372592 1530968 1715740 1913710 2487823 2745184 3061936 3431480 3827420 4975646 6123872 6862960 7654840 9951292 12439115 13725920 15309680 19902584 24878230 30619360 39805168 49756460 79610336 99512920 199025840 398051680