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123452420 = 225713292339
BaseRepresentation
bin1110101101110…
…11110000000100
322121022000212212
413112323300010
5223100434140
620130002552
73026220410
oct726736004
9277260785
10123452420
116375a6a3
1235416458
131c765490
1412577d40
15ac88765
hex75bbc04

123452420 has 96 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 37707264.

The previous prime is 123452411. The next prime is 123452429. The reversal of 123452420 is 24254321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123452411) and next prime (123452429).

It is not an unprimeable number, because it can be changed into a prime (123452429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51611 + ... + 53949.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2123452420 is an apocalyptic number.

123452420 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 123452420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

123452420 is an abundant number, since it is smaller than the sum of its proper divisors (206768380).

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

123452420 is a wasteful number, since it uses less digits than its factorization.

123452420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 123452420 is about 11110.9144538152. The cubic root of 123452420 is about 497.9279853716.

The spelling of 123452420 in words is "one hundred twenty-three million, four hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 29 35 52 58 65 70 91 116 130 140 145 182 203 260 290 364 377 406 455 580 754 812 910 1015 1508 1820 1885 2030 2339 2639 3770 4060 4678 5278 7540 9356 10556 11695 13195 16373 23390 26390 30407 32746 46780 52780 60814 65492 67831 81865 121628 135662 152035 163730 212849 271324 304070 327460 339155 425698 474817 608140 678310 851396 881803 949634 1064245 1356620 1763606 1899268 2128490 2374085 3527212 4256980 4409015 4748170 6172621 8818030 9496340 12345242 17636060 24690484 30863105 61726210 123452420