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120042324 = 2234477883
BaseRepresentation
bin1110010011110…
…11001101010100
322100212210010000
413021323031110
5221212323244
615524531300
72655225423
oct711731524
9270783100
10120042324
1161840636
1234250b30
131bb4027c
1411d2b2ba
15a813169
hex727b354

120042324 has 60 divisors (see below), whose sum is σ = 320531904. Its totient is φ = 39157776.

The previous prime is 120042311. The next prime is 120042347. The reversal of 120042324 is 423240021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120042297 and 120042306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11287 + ... + 19169.

Almost surely, 2120042324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120042324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160265952).

120042324 is an abundant number, since it is smaller than the sum of its proper divisors (200489580).

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

120042324 is a wasteful number, since it uses less digits than its factorization.

120042324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7946 (or 7935 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 120042324 is about 10956.3827972557. The cubic root of 120042324 is about 493.3003969164.

Adding to 120042324 its reverse (423240021), we get a palindrome (543282345).

The spelling of 120042324 in words is "one hundred twenty million, forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1692 2538 3807 5076 7614 7883 15228 15766 23649 31532 47298 70947 94596 141894 212841 283788 370501 425682 638523 741002 851364 1111503 1277046 1482004 2223006 2554092 3334509 4446012 6669018 10003527 13338036 20007054 30010581 40014108 60021162 120042324