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1045616740 = 225719675867
BaseRepresentation
bin111110010100101…
…101100001100100
32200212111211111221
4332110231201210
54120134213430
6251431110124
734624411210
oct7624554144
92625454457
101045616740
11497250373
12252212344
1313881c43c
149cc23940
1561be257a
hex3e52d864

1045616740 has 96 divisors (see below), whose sum is σ = 2681441280. Its totient is φ = 334502784.

The previous prime is 1045616699. The next prime is 1045616749. The reversal of 1045616740 is 476165401.

1045616740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1045616696 and 1045616705.

It is not an unprimeable number, because it can be changed into a prime (1045616749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175287 + ... + 181153.

It is an arithmetic number, because the mean of its divisors is an integer number (27931680).

Almost surely, 21045616740 is an apocalyptic number.

1045616740 is a gapful number since it is divisible by the number (10) 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 1045616740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340720640).

1045616740 is an abundant number, since it is smaller than the sum of its proper divisors (1635824540).

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

1045616740 is a wasteful number, since it uses less digits than its factorization.

1045616740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 1045616740 is about 32335.9975878277. The cubic root of 1045616740 is about 1014.9800573625.

The spelling of 1045616740 in words is "one billion, forty-five million, six hundred sixteen thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 67 70 76 95 133 134 140 190 266 268 335 380 469 532 665 670 938 1273 1330 1340 1876 2345 2546 2660 4690 5092 5867 6365 8911 9380 11734 12730 17822 23468 25460 29335 35644 41069 44555 58670 82138 89110 111473 117340 164276 178220 205345 222946 393089 410690 445892 557365 780311 786178 821380 1114730 1560622 1572356 1965445 2229460 2751623 3121244 3901555 3930890 5503246 7468691 7803110 7861780 11006492 13758115 14937382 15606220 27516230 29874764 37343455 52280837 55032460 74686910 104561674 149373820 209123348 261404185 522808370 1045616740