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1145847680 = 2754194273
BaseRepresentation
bin100010001001100…
…0011111110000000
32221212010002111222
41010103003332000
54321314111210
6305411254212
740252354535
oct10423037600
92855102458
101145847680
1153888a35a
1227b8aa368
131535140a3
14ac274d8c
156a8e0655
hex444c3f80

1145847680 has 64 divisors (see below), whose sum is σ = 2746472400. Its totient is φ = 457138176.

The previous prime is 1145847667. The next prime is 1145847691. The reversal of 1145847680 is 867485411.

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

It is a super-2 number, since 2×11458476802 = 2625933811522764800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266024 + ... + 270296.

Almost surely, 21145847680 is an apocalyptic number.

1145847680 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 1145847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373236200).

1145847680 is an abundant number, since it is smaller than the sum of its proper divisors (1600624720).

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

1145847680 is an equidigital number, since it uses as much as digits as its factorization.

1145847680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4711 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 1145847680 is about 33850.3719329640. The cubic root of 1145847680 is about 1046.4270636761.

The spelling of 1145847680 in words is "one billion, one hundred forty-five million, eight hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 419 640 838 1676 2095 3352 4190 4273 6704 8380 8546 13408 16760 17092 21365 26816 33520 34184 42730 53632 67040 68368 85460 134080 136736 170920 268160 273472 341840 546944 683680 1367360 1790387 2734720 3580774 7161548 8951935 14323096 17903870 28646192 35807740 57292384 71615480 114584768 143230960 229169536 286461920 572923840 1145847680