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1335427072 = 21674171
BaseRepresentation
bin100111110011001…
…0000000000000000
310110001211201112221
41033212100000000
510213332131242
6340302500424
745043641250
oct11746200000
93401751487
101335427072
116258a5141
12313294714
13183890245
14c9503960
157c38c167
hex4f990000

1335427072 has 136 divisors (see below), whose sum is σ = 3170869632. Its totient is φ = 550502400.

The previous prime is 1335427057. The next prime is 1335427073. The reversal of 1335427072 is 2707245331.

It is not an unprimeable number, because it can be changed into a prime (1335427073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18808797 + ... + 18808867.

Almost surely, 21335427072 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 1335427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585434816).

1335427072 is an abundant number, since it is smaller than the sum of its proper divisors (1835442560).

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

1335427072 is an frugal number, since it uses more digits than its factorization.

1335427072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 1335427072 is about 36543.4956182355. The cubic root of 1335427072 is about 1101.2182293991.

The spelling of 1335427072 in words is "one billion, three hundred thirty-five million, four hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 71 82 112 128 142 164 224 256 284 287 328 448 497 512 568 574 656 896 994 1024 1136 1148 1312 1792 1988 2048 2272 2296 2624 2911 3584 3976 4096 4544 4592 5248 5822 7168 7952 8192 9088 9184 10496 11644 14336 15904 16384 18176 18368 20377 20992 23288 28672 31808 32768 36352 36736 40754 41984 46576 57344 63616 65536 72704 73472 81508 83968 93152 114688 127232 145408 146944 163016 167936 186304 229376 254464 290816 293888 326032 335872 372608 458752 508928 581632 587776 652064 671744 745216 1017856 1163264 1175552 1304128 1343488 1490432 2035712 2326528 2351104 2608256 2686976 2980864 4071424 4653056 4702208 5216512 5961728 8142848 9404416 10433024 11923456 16285696 18808832 20866048 23846912 32571392 41732096 47693824 83464192 95387648 166928384 190775296 333856768 667713536 1335427072