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132263670 = 235711311847
BaseRepresentation
bin1111110001000…
…10111011110110
3100012212200122110
413320202323312
5232324414140
621042511450
73164136240
oct770427366
9305780573
10132263670
1168728720
1238365586
132152bc36
14137cd090
15b929380
hex7e22ef6

132263670 has 128 divisors (see below), whose sum is σ = 408748032. Its totient is φ = 26582400.

The previous prime is 132263669. The next prime is 132263713. The reversal of 132263670 is 76362231.

132263670 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70687 + ... + 72533.

It is an arithmetic number, because the mean of its divisors is an integer number (3193344).

Almost surely, 2132263670 is an apocalyptic number.

132263670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132263670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204374016).

132263670 is an abundant number, since it is smaller than the sum of its proper divisors (276484362).

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

132263670 is a wasteful number, since it uses less digits than its factorization.

132263670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906.

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 132263670 is about 11500.5943324682. The cubic root of 132263670 is about 509.5031300739.

The spelling of 132263670 in words is "one hundred thirty-two million, two hundred sixty-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 31 33 35 42 55 62 66 70 77 93 105 110 154 155 165 186 210 217 231 310 330 341 385 434 462 465 651 682 770 930 1023 1085 1155 1302 1705 1847 2046 2170 2310 2387 3255 3410 3694 4774 5115 5541 6510 7161 9235 10230 11082 11935 12929 14322 18470 20317 23870 25858 27705 35805 38787 40634 55410 57257 60951 64645 71610 77574 101585 114514 121902 129290 142219 171771 193935 203170 284438 286285 304755 343542 387870 400799 426657 572570 609510 629827 711095 801598 853314 858855 1202397 1259654 1422190 1717710 1889481 2003995 2133285 2404794 3149135 3778962 4007990 4266570 4408789 6011985 6298270 8817578 9447405 12023970 13226367 18894810 22043945 26452734 44087890 66131835 132263670