Search a number
-
+
1339853040 = 243252380909
BaseRepresentation
bin100111111011100…
…1000100011110000
310110101011120211200
41033313020203300
510221000244130
6340541411200
745126364041
oct11767104360
93411146750
101339853040
11628348469
12314869b00
1318477c966
14c9d368c8
157c963760
hex4fdc88f0

1339853040 has 120 divisors (see below), whose sum is σ = 4695369120. Its totient is φ = 341755392.

The previous prime is 1339853027. The next prime is 1339853059. The reversal of 1339853040 is 403589331.

1339853040 is a `hidden beast` number, since 1 + 33 + 98 + 530 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 1339852986 and 1339853004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23895 + ... + 57014.

It is an arithmetic number, because the mean of its divisors is an integer number (39128076).

Almost surely, 21339853040 is an apocalyptic number.

1339853040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1339853040 is an abundant number, since it is smaller than the sum of its proper divisors (3355516080).

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

1339853040 is a wasteful number, since it uses less digits than its factorization.

1339853040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80951 (or 80942 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1339853040 is about 36604.0030597748. The cubic root of 1339853040 is about 1102.4334666067.

The spelling of 1339853040 in words is "one billion, three hundred thirty-nine million, eight hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 80909 161818 242727 323636 404545 485454 647272 728181 809090 970908 1213635 1294544 1456362 1618180 1860907 1941816 2427270 2912724 3236360 3640905 3721814 3883632 4854540 5582721 5825448 6472720 7281810 7443628 9304535 9709080 11165442 11650896 14563620 14887256 16748163 18609070 19418160 22330884 27913605 29127240 29774512 33496326 37218140 44661768 55827210 58254480 66992652 74436280 83740815 89323536 111654420 133985304 148872560 167481630 223308840 267970608 334963260 446617680 669926520 1339853040