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120252340 = 225131134093
BaseRepresentation
bin1110010101011…
…10011110110100
322101021110012101
413022232132310
5221241033330
615533231444
72660061625
oct712563664
9271243171
10120252340
11619743aa
1234332584
131bbb4a40
1411d83a4c
15a8554ca
hex72ae7b4

120252340 has 48 divisors (see below), whose sum is σ = 274429008. Its totient is φ = 43997184.

The previous prime is 120252277. The next prime is 120252347. The reversal of 120252340 is 43252021.

It can be written as a sum of positive squares in 8 ways, for example, as 42354064 + 77898276 = 6508^2 + 8826^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120252347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27334 + ... + 31426.

It is an arithmetic number, because the mean of its divisors is an integer number (5717271).

Almost surely, 2120252340 is an apocalyptic number.

120252340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120252340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137214504).

120252340 is an abundant number, since it is smaller than the sum of its proper divisors (154176668).

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

120252340 is a wasteful number, since it uses less digits than its factorization.

120252340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 120252340 is about 10965.9627940277. The cubic root of 120252340 is about 493.5879083379.

It can be divided in two parts, 12025 and 2340, that added together give a triangular number (14365 = T169).

The spelling of 120252340 in words is "one hundred twenty million, two hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 2260 2938 4093 5876 7345 8186 14690 16372 20465 29380 40930 53209 81860 106418 212836 266045 462509 532090 925018 1064180 1850036 2312545 4625090 6012617 9250180 12025234 24050468 30063085 60126170 120252340