Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
60102000 = 243453753
BaseRepresentation
bin1110010101000…
…1010101110000
311012002111110000
43211101111300
5110341231000
65544110000
71326600330
oct345212560
9135074400
1060102000
1130a20582
1218165300
13c5b451a
147da70c0
155423000
hex3951570

60102000 has 400 divisors, whose sum is σ = 252787392. Its totient is φ = 13478400.

The previous prime is 60101999. The next prime is 60102001. The reversal of 60102000 is 20106.

It is an interprime number because it is at equal distance from previous prime (60101999) and next prime (60102001).

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×601020002 = 7224500808000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60102001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1133974 + ... + 1134026.

Almost surely, 260102000 is an apocalyptic number.

60102000 is a gapful number since it is divisible by the number (60) 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 60102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126393696).

60102000 is an abundant number, since it is smaller than the sum of its proper divisors (192685392).

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

60102000 is a wasteful number, since it uses less digits than its factorization.

60102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 60102000 is about 7752.5479682489. The cubic root of 60102000 is about 391.7084810244.

Adding to 60102000 its reverse (20106), we get a palindrome (60122106).

The spelling of 60102000 in words is "sixty million, one hundred two thousand".