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2935141380 = 2233531271647
BaseRepresentation
bin1010111011110010…
…1011010000000100
321120112222122001000
42232330223100010
522002344011010
61203130133300
7132510201333
oct25674532004
97515878030
102935141380
1112768a1186
1269ab81230
1337a125c62
141dbb61d1a
15122a317c0
hexaef2b404

2935141380 has 192 divisors, whose sum is σ = 9475522560. Its totient is φ = 753494400.

The previous prime is 2935141373. The next prime is 2935141397. The reversal of 2935141380 is 831415392.

2935141380 is a `hidden beast` number, since 2 + 9 + 3 + 514 + 138 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4536217 + ... + 4536863.

It is an arithmetic number, because the mean of its divisors is an integer number (49351680).

Almost surely, 22935141380 is an apocalyptic number.

2935141380 is a gapful number since it is divisible by the number (20) 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 2935141380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737761280).

2935141380 is an abundant number, since it is smaller than the sum of its proper divisors (6540381180).

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

2935141380 is a wasteful number, since it uses less digits than its factorization.

2935141380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2935141380 is about 54176.9450965999. The cubic root of 2935141380 is about 1431.7801651914.

The spelling of 2935141380 in words is "two billion, nine hundred thirty-five million, one hundred forty-one thousand, three hundred eighty".