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1041474672 = 24357172251
BaseRepresentation
bin111110000100111…
…010010001110000
32200120201101200000
4332010322101300
54113104142142
6251202230000
734544250210
oct7604722160
92616641600
101041474672
11494981377
12250955300
131379cc004
149c466240
156167514c
hex3e13a470

1041474672 has 240 divisors, whose sum is σ = 3659265792. Its totient is φ = 279936000.

The previous prime is 1041474671. The next prime is 1041474673. The reversal of 1041474672 is 2764741401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1041474671) and next prime (1041474673).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041474671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461547 + ... + 463797.

Almost surely, 21041474672 is an apocalyptic number.

1041474672 is a gapful number since it is divisible by the number (12) 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 1041474672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829632896).

1041474672 is an abundant number, since it is smaller than the sum of its proper divisors (2617791120).

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

1041474672 is a wasteful number, since it uses less digits than its factorization.

1041474672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1041474672 is about 32271.8867127412. The cubic root of 1041474672 is about 1013.6380487504.

The spelling of 1041474672 in words is "one billion, forty-one million, four hundred seventy-four thousand, six hundred seventy-two".