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746808090 = 235743191433
BaseRepresentation
bin101100100000110…
…110001100011010
31221001020210002220
4230200312030122
53012140324330
6202034404510
724335523030
oct5440661432
91831223086
10746808090
1135360aa76
1218a130736
13bb94a9a2
1471280550
154586b710
hex2c83631a

746808090 has 128 divisors (see below), whose sum is σ = 2111864832. Its totient is φ = 165473280.

The previous prime is 746808089. The next prime is 746808103. The reversal of 746808090 is 90808647.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1724514 + ... + 1724946.

It is an arithmetic number, because the mean of its divisors is an integer number (16498944).

Almost surely, 2746808090 is an apocalyptic number.

746808090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 746808090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055932416).

746808090 is an abundant number, since it is smaller than the sum of its proper divisors (1365056742).

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

746808090 is a wasteful number, since it uses less digits than its factorization.

746808090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684.

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 746808090 is about 27327.7897020597. The cubic root of 746808090 is about 907.2695557367.

The spelling of 746808090 in words is "seven hundred forty-six million, eight hundred eight thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 191 210 215 258 301 382 430 433 573 602 645 866 903 955 1146 1290 1299 1337 1505 1806 1910 2165 2598 2674 2865 3010 3031 4011 4330 4515 5730 6062 6495 6685 8022 8213 9030 9093 12990 13370 15155 16426 18186 18619 20055 24639 30310 37238 40110 41065 45465 49278 55857 57491 82130 82703 90930 93095 111714 114982 123195 130333 165406 172473 186190 246390 248109 260666 279285 287455 344946 390999 413515 496218 558570 574910 578921 651665 781998 827030 862365 1157842 1240545 1303330 1724730 1736763 1954995 2481090 2894605 3473526 3556229 3909990 5789210 7112458 8683815 10668687 17367630 17781145 21337374 24893603 35562290 49787206 53343435 74680809 106686870 124468015 149361618 248936030 373404045 746808090