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120130452 = 2236133169
BaseRepresentation
bin1110010100100…
…00101110010100
322101001021000000
413022100232110
5221223133302
615530451300
72656043361
oct712205624
9271037000
10120130452
11618a0872
1234293b30
131bb71410
1411d51468
15a82e31c
hex7290b94

120130452 has 84 divisors (see below), whose sum is σ = 339551380. Its totient is φ = 36951552.

The previous prime is 120130447. The next prime is 120130457. The reversal of 120130452 is 254031021.

It is an interprime number because it is at equal distance from previous prime (120130447) and next prime (120130457).

It can be written as a sum of positive squares in 2 ways, for example, as 57972996 + 62157456 = 7614^2 + 7884^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120130457) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 36324 + ... + 39492.

Almost surely, 2120130452 is an apocalyptic number.

120130452 is a gapful number since it is divisible by the number (12) 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 120130452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169775690).

120130452 is an abundant number, since it is smaller than the sum of its proper divisors (219420928).

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

120130452 is a wasteful number, since it uses less digits than its factorization.

120130452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120130452 is about 10960.4038246773. The cubic root of 120130452 is about 493.4210847475.

Adding to 120130452 its reverse (254031021), we get a palindrome (374161473).

The spelling of 120130452 in words is "one hundred twenty million, one hundred thirty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1404 1458 2106 2916 3159 3169 4212 6318 6338 9477 9507 12636 12676 18954 19014 28521 37908 38028 41197 57042 82394 85563 114084 123591 164788 171126 247182 256689 342252 370773 494364 513378 741546 770067 1026756 1112319 1483092 1540134 2224638 2310201 3080268 3336957 4449276 4620402 6673914 9240804 10010871 13347828 20021742 30032613 40043484 60065226 120130452