Search a number
-
+
679090680 = 233252922243
BaseRepresentation
bin101000011110100…
…001100111111000
31202022211101021200
4220132201213320
52342321400210
6151215134200
722554114132
oct5036414770
91668741250
10679090680
11319368974
1216b514360
13aa8cb108
1466294052
153e9420c0
hex287a19f8

679090680 has 144 divisors (see below), whose sum is σ = 2286793080. Its totient is φ = 174768384.

The previous prime is 679090679. The next prime is 679090691. The reversal of 679090680 is 86090976.

679090680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6790906802 = 922328303325724800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 301639 + ... + 303881.

Almost surely, 2679090680 is an apocalyptic number.

679090680 is a gapful number since it is divisible by the number (60) 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 679090680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143396540).

679090680 is an abundant number, since it is smaller than the sum of its proper divisors (1607702400).

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

679090680 is a wasteful number, since it uses less digits than its factorization.

679090680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 679090680 is about 26059.3683730055. The cubic root of 679090680 is about 878.9737865270.

The spelling of 679090680 in words is "six hundred seventy-nine million, ninety thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 841 870 1044 1160 1305 1682 1740 2088 2243 2523 2610 3364 3480 4205 4486 5046 5220 6728 6729 7569 8410 8972 10092 10440 11215 12615 13458 15138 16820 17944 20184 20187 22430 25230 26916 30276 33640 33645 37845 40374 44860 50460 53832 60552 65047 67290 75690 80748 89720 100920 100935 130094 134580 151380 161496 195141 201870 260188 269160 302760 325235 390282 403740 520376 585423 650470 780564 807480 975705 1170846 1300940 1561128 1886363 1951410 2341692 2601880 2927115 3772726 3902820 4683384 5659089 5854230 7545452 7805640 9431815 11318178 11708460 15090904 16977267 18863630 22636356 23416920 28295445 33954534 37727260 45272712 56590890 67909068 75454520 84886335 113181780 135818136 169772670 226363560 339545340 679090680