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2023940736 = 27332712161
BaseRepresentation
bin111100010100010…
…1110001010000000
312020001101211202000
41320220232022000
513121112100421
6532500024000
7101104132566
oct17050561200
95201354660
102023940736
119495096a4
12485992000
1326340a38c
14152b2ba36
15bca41226
hex78a2e280

2023940736 has 128 divisors (see below), whose sum is σ = 5998252800. Its totient is φ = 671846400.

The previous prime is 2023940713. The next prime is 2023940749. The reversal of 2023940736 is 6370493202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20239407362 = 8192672205680443392, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2023940736.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935496 + ... + 937656.

It is an arithmetic number, because the mean of its divisors is an integer number (46861350).

Almost surely, 22023940736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023940736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999126400).

2023940736 is an abundant number, since it is smaller than the sum of its proper divisors (3974312064).

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

2023940736 is a wasteful number, since it uses less digits than its factorization.

2023940736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2023940736 is about 44988.2288604475. The cubic root of 2023940736 is about 1264.9283624750.

The spelling of 2023940736 in words is "two billion, twenty-three million, nine hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 271 288 384 432 542 576 813 864 1084 1152 1626 1728 2161 2168 2439 3252 3456 4322 4336 4878 6483 6504 7317 8644 8672 9756 12966 13008 14634 17288 17344 19449 19512 25932 26016 29268 34576 34688 38898 39024 51864 52032 58347 58536 69152 77796 78048 103728 104064 116694 117072 138304 155592 156096 207456 233388 234144 276608 311184 312192 414912 466776 468288 585631 622368 829824 933552 936576 1171262 1244736 1756893 1867104 2342524 2489472 3513786 3734208 4685048 5270679 7027572 7468416 9370096 10541358 14055144 15812037 18740192 21082716 28110288 31624074 37480384 42165432 56220576 63248148 74960768 84330864 112441152 126496296 168661728 224882304 252992592 337323456 505985184 674646912 1011970368 2023940736