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1107162640 = 24571421463
BaseRepresentation
bin100000111111101…
…1111011000010000
32212011022200121201
41001333133120100
54231413201030
6301510200544
736302504263
oct10177373020
92764280551
101107162640
11518a67751
1226a953154
131484bac2c
14a7084cda
15672ed2ca
hex41fdf610

1107162640 has 80 divisors (see below), whose sum is σ = 2622260736. Its totient is φ = 434649600.

The previous prime is 1107162607. The next prime is 1107162649. The reversal of 1107162640 is 462617011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11071626402 = 2451618222823539200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1107162599 and 1107162608.

It is not an unprimeable number, because it can be changed into a prime (1107162649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2391049 + ... + 2391511.

Almost surely, 21107162640 is an apocalyptic number.

1107162640 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 1107162640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311130368).

1107162640 is an abundant number, since it is smaller than the sum of its proper divisors (1515098096).

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

1107162640 is a wasteful number, since it uses less digits than its factorization.

1107162640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1107162640 is about 33274.0535552854. The cubic root of 1107162640 is about 1034.5158307046.

Adding to 1107162640 its reverse (462617011), we get a palindrome (1569779651).

The spelling of 1107162640 in words is "one billion, one hundred seven million, one hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 421 463 568 710 842 926 1136 1420 1684 1852 2105 2315 2840 3368 3704 4210 4630 5680 6736 7408 8420 9260 16840 18520 29891 32873 33680 37040 59782 65746 119564 131492 149455 164365 194923 239128 262984 298910 328730 389846 478256 525968 597820 657460 779692 974615 1195640 1314920 1559384 1949230 2391280 2629840 3118768 3898460 7796920 13839533 15593840 27679066 55358132 69197665 110716264 138395330 221432528 276790660 553581320 1107162640