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120628536 = 23371813967
BaseRepresentation
bin1110011000010…
…10010100111000
322101222120020120
413030022110320
5221340103121
615545253240
72663216460
oct714122470
9271876216
10120628536
1162101006
1234494220
131bcb7042
1412040ba0
15a8cbbc6
hex730a538

120628536 has 64 divisors (see below), whose sum is σ = 346644480. Its totient is φ = 34266240.

The previous prime is 120628493. The next prime is 120628559. The reversal of 120628536 is 635826021.

It is a junction number, because it is equal to n+sod(n) for n = 120628497 and 120628506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28425 + ... + 32391.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2120628536 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 120628536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173322240).

120628536 is an abundant number, since it is smaller than the sum of its proper divisors (226015944).

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

120628536 is a wasteful number, since it uses less digits than its factorization.

120628536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 120628536 is about 10983.1022939787. The cubic root of 120628536 is about 494.1020840570.

The spelling of 120628536 in words is "one hundred twenty million, six hundred twenty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 181 362 543 724 1086 1267 1448 2172 2534 3801 3967 4344 5068 7602 7934 10136 11901 15204 15868 23802 27769 30408 31736 47604 55538 83307 95208 111076 166614 222152 333228 666456 718027 1436054 2154081 2872108 4308162 5026189 5744216 8616324 10052378 15078567 17232648 20104756 30157134 40209512 60314268 120628536