Search a number
-
+
60073152 = 2632910789
BaseRepresentation
bin1110010100101…
…0010011000000
311012001000212120
43211022103000
5110334320102
65543324240
71326420246
oct345122300
9135030776
1060073152
1130a00937
1218150680
13c5a4359
147d9a796
1554196bc
hex394a4c0

60073152 has 56 divisors (see below), whose sum is σ = 164439600. Its totient is φ = 19332096.

The previous prime is 60073141. The next prime is 60073157. The reversal of 60073152 is 25137006.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60073157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174 + ... + 10962.

Almost surely, 260073152 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 60073152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82219800).

60073152 is an abundant number, since it is smaller than the sum of its proper divisors (104366448).

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

60073152 is a wasteful number, since it uses less digits than its factorization.

60073152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10833 (or 10823 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 60073152 is about 7750.6871953395. The cubic root of 60073152 is about 391.6457997233.

The spelling of 60073152 in words is "sixty million, seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 10789 21578 32367 43156 64734 86312 129468 172624 258936 312881 345248 517872 625762 690496 938643 1035744 1251524 1877286 2071488 2503048 3754572 5006096 7509144 10012192 15018288 20024384 30036576 60073152