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132020070 = 235713371307
BaseRepresentation
bin1111101111001…
…11011101100110
3100012102022111020
413313213131212
5232244120240
621033352010
73162103110
oct767473546
9305368436
10132020070
11685816a6
1238268606
13214750b0
14137683b0
15b8cc0d0
hex7de7766

132020070 has 128 divisors (see below), whose sum is σ = 400813056. Its totient is φ = 27081216.

The previous prime is 132019997. The next prime is 132020071. The reversal of 132020070 is 70020231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132020071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100357 + ... + 101663.

It is an arithmetic number, because the mean of its divisors is an integer number (3131352).

Almost surely, 2132020070 is an apocalyptic number.

132020070 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 132020070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200406528).

132020070 is an abundant number, since it is smaller than the sum of its proper divisors (268792986).

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

132020070 is a wasteful number, since it uses less digits than its factorization.

132020070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 132020070 is about 11489.9986945169. The cubic root of 132020070 is about 509.1901410325.

The spelling of 132020070 in words is "one hundred thirty-two million, twenty thousand, seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 37 39 42 65 70 74 78 91 105 111 130 182 185 195 210 222 259 273 370 390 455 481 518 546 555 777 910 962 1110 1295 1307 1365 1443 1554 2405 2590 2614 2730 2886 3367 3885 3921 4810 6535 6734 7215 7770 7842 9149 10101 13070 14430 16835 16991 18298 19605 20202 27447 33670 33982 39210 45745 48359 50505 50973 54894 84955 91490 96718 101010 101946 118937 137235 145077 169910 237874 241795 254865 274470 290154 338513 356811 483590 509730 594685 628667 677026 713622 725385 1015539 1189370 1257334 1450770 1692565 1784055 1886001 2031078 3143335 3385130 3568110 3772002 4400669 5077695 6286670 8801338 9430005 10155390 13202007 18860010 22003345 26404014 44006690 66010035 132020070