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1350969520 = 245791811181
BaseRepresentation
bin101000010000110…
…0010100010110000
310111011002100210011
41100201202202300
510231322011040
6342015544304
745323023435
oct12041424260
93434070704
101350969520
1163365043a
1231852b094
13186b72764
14cb5cbb8c
157d90c3ea
hex508628b0

1350969520 has 80 divisors (see below), whose sum is σ = 3201045120. Its totient is φ = 530150400.

The previous prime is 1350969479. The next prime is 1350969533. The reversal of 1350969520 is 259690531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 1143330 + ... + 1144510.

It is an arithmetic number, because the mean of its divisors is an integer number (40013064).

Almost surely, 21350969520 is an apocalyptic number.

1350969520 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 1350969520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600522560).

1350969520 is an abundant number, since it is smaller than the sum of its proper divisors (1850075600).

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

1350969520 is a wasteful number, since it uses less digits than its factorization.

1350969520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 40.

The square root of 1350969520 is about 36755.5372699135. The cubic root of 1350969520 is about 1105.4739597794.

The spelling of 1350969520 in words is "one billion, three hundred fifty million, nine hundred sixty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 181 316 362 395 632 724 790 905 1181 1264 1448 1580 1810 2362 2896 3160 3620 4724 5905 6320 7240 9448 11810 14299 14480 18896 23620 28598 47240 57196 71495 93299 94480 114392 142990 186598 213761 228784 285980 373196 427522 466495 571960 746392 855044 932990 1068805 1143920 1492784 1710088 1865980 2137610 3420176 3731960 4275220 7463920 8550440 16887119 17100880 33774238 67548476 84435595 135096952 168871190 270193904 337742380 675484760 1350969520