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132835950 = 2355213292
BaseRepresentation
bin1111110101011…
…10101001101110
3100020221202200000
413322232221232
5233001222300
621103045130
73202041552
oct772565156
9306852600
10132835950
1168a89685
12385a07a6
132169c570
14138db862
15b9ddc00
hex7eaea6e

132835950 has 216 divisors, whose sum is σ = 412791288. Its totient is φ = 31570560.

The previous prime is 132835949. The next prime is 132835951. The reversal of 132835950 is 59538231.

It is an interprime number because it is at equal distance from previous prime (132835949) and next prime (132835951).

It is a super-2 number, since 2×1328359502 = 35290779224805000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132835951) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4580536 + ... + 4580564.

Almost surely, 2132835950 is an apocalyptic number.

132835950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132835950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206395644).

132835950 is an abundant number, since it is smaller than the sum of its proper divisors (279955338).

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

132835950 is a wasteful number, since it uses less digits than its factorization.

132835950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 132835950 is about 11525.4479305578. The cubic root of 132835950 is about 510.2369141489.

The spelling of 132835950 in words is "one hundred thirty-two million, eight hundred thirty-five thousand, nine hundred fifty".