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1140848640 = 21132512379
BaseRepresentation
bin100001111111111…
…1111100000000000
32221111201010010100
41003333333200000
54314024124030
6305112202400
740162024221
oct10377774000
92844633110
101140848640
11535a85518
1227a099400
13152483889
14ab733248
156a254360
hex43fff800

1140848640 has 144 divisors (see below), whose sum is σ = 3954295800. Its totient is φ = 304201728.

The previous prime is 1140848629. The next prime is 1140848641. The reversal of 1140848640 is 468480411.

1140848640 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 8 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1140848595 and 1140848604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140848641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85971 + ... + 98349.

Almost surely, 21140848640 is an apocalyptic number.

1140848640 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 1140848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977147900).

1140848640 is an abundant number, since it is smaller than the sum of its proper divisors (2813447160).

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

1140848640 is a wasteful number, since it uses less digits than its factorization.

1140848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12412 (or 12389 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1140848640 is about 33776.4509680931. The cubic root of 1140848640 is about 1044.9030808369.

The spelling of 1140848640 in words is "one billion, one hundred forty million, eight hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 12379 15360 18432 23040 24758 30720 37137 46080 49516 61895 74274 92160 99032 111411 123790 148548 185685 198064 222822 247580 297096 371370 396128 445644 495160 557055 594192 742740 792256 891288 990320 1114110 1188384 1485480 1584512 1782576 1980640 2228220 2376768 2970960 3169024 3565152 3961280 4456440 4753536 5941920 6338048 7130304 7922560 8912880 9507072 11883840 12676096 14260608 15845120 17825760 19014144 23767680 25352192 28521216 31690240 35651520 38028288 47535360 57042432 63380480 71303040 76056576 95070720 114084864 126760960 142606080 190141440 228169728 285212160 380282880 570424320 1140848640