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1350870720 = 263510713151
BaseRepresentation
bin101000010000100…
…1010011011000000
310111010220100020220
41100201022123000
510231310330340
6342013503040
745322132413
oct12041123300
93433810226
101350870720
11633593191
123184a1a80
13186b397b4
14cb5a3b7a
157d8dced0
hex5084a6c0

1350870720 has 112 divisors (see below), whose sum is σ = 4329427968. Its totient is φ = 356838400.

The previous prime is 1350870659. The next prime is 1350870727. The reversal of 1350870720 is 270780531.

It is not an unprimeable number, because it can be changed into a prime (1350870727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96145 + ... + 109295.

Almost surely, 21350870720 is an apocalyptic number.

1350870720 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 1350870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164713984).

1350870720 is an abundant number, since it is smaller than the sum of its proper divisors (2978557248).

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

1350870720 is a wasteful number, since it uses less digits than its factorization.

1350870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13278 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 1350870720 is about 36754.1932301608. The cubic root of 1350870720 is about 1105.4470103706.

The spelling of 1350870720 in words is "one billion, three hundred fifty million, eight hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 160 192 214 240 320 321 428 480 535 642 856 960 1070 1284 1605 1712 2140 2568 3210 3424 4280 5136 6420 6848 8560 10272 12840 13151 17120 20544 25680 26302 34240 39453 51360 52604 65755 78906 102720 105208 131510 157812 197265 210416 263020 315624 394530 420832 526040 631248 789060 841664 1052080 1262496 1407157 1578120 2104160 2524992 2814314 3156240 4208320 4221471 5628628 6312480 7035785 8442942 11257256 12624960 14071570 16885884 21107355 22514512 28143140 33771768 42214710 45029024 56286280 67543536 84429420 90058048 112572560 135087072 168858840 225145120 270174144 337717680 450290240 675435360 1350870720