Search a number
-
+
402980460 = 2235139211229
BaseRepresentation
bin11000000001001…
…111111001101100
31001002021112021020
4120001033321230
51311130333320
6103553134140
712662164101
oct3001177154
91032245236
10402980460
11197521203
12b2b5a350
136564609c
143b73caa8
15255a1940
hex1804fe6c

402980460 has 96 divisors (see below), whose sum is σ = 1146835200. Its totient is φ = 105719040.

The previous prime is 402980453. The next prime is 402980471. The reversal of 402980460 is 64089204.

It is a super-2 number, since 2×4029804602 = 324786502283623200, which contains 22 as substring.

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, 1759626 + ... + 1759854.

It is an arithmetic number, because the mean of its divisors is an integer number (11946200).

Almost surely, 2402980460 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 402980460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573417600).

402980460 is an abundant number, since it is smaller than the sum of its proper divisors (743854740).

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

402980460 is a wasteful number, since it uses less digits than its factorization.

402980460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 402980460 is about 20074.3732156200. The cubic root of 402980460 is about 738.6317912906.

The spelling of 402980460 in words is "four hundred two million, nine hundred eighty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 211 229 278 417 422 458 556 633 687 695 834 844 916 1055 1145 1266 1374 1390 1668 2085 2110 2290 2532 2748 2780 3165 3435 4170 4220 4580 6330 6870 8340 12660 13740 29329 31831 48319 58658 63662 87987 95493 96638 117316 127324 144957 146645 159155 175974 190986 193276 241595 289914 293290 318310 351948 381972 439935 477465 483190 579828 586580 636620 724785 879870 954930 966380 1449570 1759740 1909860 2899140 6716341 13432682 20149023 26865364 33581705 40298046 67163410 80596092 100745115 134326820 201490230 402980460