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120669234 = 23753151359
BaseRepresentation
bin1110011000101…
…00010000110010
322102001122001220
413030110100302
5221342403414
615550205510
72663446230
oct714242062
9272048056
10120669234
1162129644
12344b3896
131bccc71a
1412051950
15a8d8ca9
hex7314432

120669234 has 64 divisors (see below), whose sum is σ = 283668480. Its totient is φ = 33508800.

The previous prime is 120669229. The next prime is 120669259. The reversal of 120669234 is 432966021.

It is a super-2 number, since 2×1206692342 = 29122128068293512, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120669195 and 120669204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335947 + ... + 336305.

It is an arithmetic number, because the mean of its divisors is an integer number (4432320).

Almost surely, 2120669234 is an apocalyptic number.

120669234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120669234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141834240).

120669234 is an abundant number, since it is smaller than the sum of its proper divisors (162999246).

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

120669234 is a wasteful number, since it uses less digits than its factorization.

120669234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 120669234 is about 10984.9548929433. The cubic root of 120669234 is about 494.1576449998.

It can be divided in two parts, 1 and 20669234, that added together give a triangular number (20669235 = T6429).

The spelling of 120669234 in words is "one hundred twenty million, six hundred sixty-nine thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 53 106 151 159 302 318 359 371 453 718 742 906 1057 1077 1113 2114 2154 2226 2513 3171 5026 6342 7539 8003 15078 16006 19027 24009 38054 48018 54209 56021 57081 108418 112042 114162 133189 162627 168063 266378 325254 336126 379463 399567 758926 799134 1138389 2276778 2873077 5746154 8619231 17238462 20111539 40223078 60334617 120669234