Search a number
-
+
122329740 = 223513156833
BaseRepresentation
bin1110100101010…
…01101010001100
322112011222212010
413102221222030
5222304022430
620045541220
73013533321
oct722515214
9275158763
10122329740
1163063165
1234b74810
131c461480
1412364b48
15ab15cb0
hex74a9a8c

122329740 has 48 divisors (see below), whose sum is σ = 368873568. Its totient is φ = 30111744.

The previous prime is 122329729. The next prime is 122329741. The reversal of 122329740 is 47923221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122329698 and 122329707.

It is not an unprimeable number, because it can be changed into a prime (122329741) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 77637 + ... + 79196.

It is an arithmetic number, because the mean of its divisors is an integer number (7684866).

Almost surely, 2122329740 is an apocalyptic number.

122329740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122329740 is an abundant number, since it is smaller than the sum of its proper divisors (246543828).

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

122329740 is a wasteful number, since it uses less digits than its factorization.

122329740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156858 (or 156856 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 122329740 is about 11060.2775733704. The cubic root of 122329740 is about 496.4139959688.

The spelling of 122329740 in words is "one hundred twenty-two million, three hundred twenty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 156833 313666 470499 627332 784165 940998 1568330 1881996 2038829 2352495 3136660 4077658 4704990 6116487 8155316 9409980 10194145 12232974 20388290 24465948 30582435 40776580 61164870 122329740