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120232420 = 225711101773
BaseRepresentation
bin1110010101010…
…01100111100100
322101020102212121
413022221213210
5221234414140
615532555324
72656646560
oct712514744
9271212777
10120232420
1161960440
1234322b44
131bba8959
1411d7a6a0
15a84e64a
hex72a99e4

120232420 has 96 divisors (see below), whose sum is σ = 318318336. Its totient is φ = 37056000.

The previous prime is 120232397. The next prime is 120232423. The reversal of 120232420 is 24232021.

It is a junction number, because it is equal to n+sod(n) for n = 120232394 and 120232403.

It is not an unprimeable number, because it can be changed into a prime (120232423) 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, 155154 + ... + 155926.

It is an arithmetic number, because the mean of its divisors is an integer number (3315816).

Almost surely, 2120232420 is an apocalyptic number.

120232420 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 120232420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159159168).

120232420 is an abundant number, since it is smaller than the sum of its proper divisors (198085916).

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

120232420 is a wasteful number, since it uses less digits than its factorization.

120232420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 120232420 is about 10965.0544914287. The cubic root of 120232420 is about 493.5606522803.

Adding to 120232420 its reverse (24232021), we get a palindrome (144464441).

The spelling of 120232420 in words is "one hundred twenty million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 773 1010 1111 1414 1540 1546 2020 2222 2828 3092 3535 3865 4444 5411 5555 7070 7730 7777 8503 10822 11110 14140 15460 15554 17006 21644 22220 27055 31108 34012 38885 42515 54110 59521 77770 78073 85030 108220 119042 155540 156146 170060 238084 297605 312292 390365 546511 595210 780730 858803 1093022 1190420 1561460 1717606 2186044 2732555 3435212 4294015 5465110 6011621 8588030 10930220 12023242 17176060 24046484 30058105 60116210 120232420