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3148885120 = 27511343541
BaseRepresentation
bin1011101110110000…
…0010110010000000
322010110011221022211
42323230002302000
522422103310440
61240243311504
7141014040043
oct27354026200
98113157284
103148885120
111376510aa7
1273a67b594
133b24b2b44
1421c2c0c5a
151366a2eea
hexbbb02c80

3148885120 has 64 divisors (see below), whose sum is σ = 7594595640. Its totient is φ = 1248378880.

The previous prime is 3148885063. The next prime is 3148885133. The reversal of 3148885120 is 215888413.

It can be written as a sum of positive squares in 4 ways, for example, as 874739776 + 2274145344 = 29576^2 + 47688^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50550 + ... + 94090.

Almost surely, 23148885120 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 3148885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797297820).

3148885120 is an abundant number, since it is smaller than the sum of its proper divisors (4445710520).

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

3148885120 is a wasteful number, since it uses less digits than its factorization.

3148885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43673 (or 43661 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 3148885120 is about 56114.9277821864. The cubic root of 3148885120 is about 1465.7242467272.

The spelling of 3148885120 in words is "three billion, one hundred forty-eight million, eight hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 320 452 565 640 904 1130 1808 2260 3616 4520 7232 9040 14464 18080 36160 43541 72320 87082 174164 217705 348328 435410 696656 870820 1393312 1741640 2786624 3483280 4920133 5573248 6966560 9840266 13933120 19680532 24600665 27866240 39361064 49201330 78722128 98402660 157444256 196805320 314888512 393610640 629777024 787221280 1574442560 3148885120