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9256138320 = 24351113269701
BaseRepresentation
bin10001001111011010…
…10111011001010000
3212220002001112201210
420213231113121100
5122424032411240
64130251100120
7445242610002
oct104755273120
925802045653
109256138320
113a1a9377a0
121963a41640
13b46861930
1463b44c372
15392924780
hex227b57650

9256138320 has 160 divisors (see below), whose sum is σ = 33710592384. Its totient is φ = 2071296000.

The previous prime is 9256138313. The next prime is 9256138321. The reversal of 9256138320 is 238316529.

9256138320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9256138321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100531 + ... + 169170.

Almost surely, 29256138320 is an apocalyptic number.

It is an amenable number.

9256138320 is an abundant number, since it is smaller than the sum of its proper divisors (24454454064).

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

9256138320 is a wasteful number, since it uses less digits than its factorization.

9256138320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269741 (or 269735 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 9256138320 is about 96208.8266220933. The cubic root of 9256138320 is about 2099.6324617550.

The spelling of 9256138320 in words is "nine billion, two hundred fifty-six million, one hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 8580 11440 17160 34320 269701 539402 809103 1078804 1348505 1618206 2157608 2697010 2966711 3236412 3506113 4045515 4315216 5394020 5933422 6472824 7012226 8091030 8900133 10518339 10788040 11866844 12945648 14024452 14833555 16182060 17530565 17800266 21036678 21576080 23733688 28048904 29667110 32364120 35061130 35600532 38567243 42073356 44500665 47467376 52591695 56097808 59334220 64728240 70122260 71201064 77134486 84146712 89001330 105183390 115701729 118668440 140244520 142402128 154268972 168293424 178002660 192836215 210366780 231403458 237336880 280489040 308537944 356005320 385672430 420733560 462806916 578508645 617075888 712010640 771344860 841467120 925613832 1157017290 1542689720 1851227664 2314034580 3085379440 4628069160 9256138320