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1297039104 = 28321929629
BaseRepresentation
bin100110101001111…
…0011111100000000
310100101121102011100
41031103303330000
510124020222404
6332412014400
744066436054
oct11523637400
93311542140
101297039104
11606165749
12302461400
1317893c37a
14c438dc64
1578d07d39
hex4d4f3f00

1297039104 has 108 divisors (see below), whose sum is σ = 3936641800. Its totient is φ = 409577472.

The previous prime is 1297039103. The next prime is 1297039111. The reversal of 1297039104 is 4019307921.

It is a super-4 number, since 4×12970391044 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1297039103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28962 + ... + 58590.

Almost surely, 21297039104 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 1297039104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968320900).

1297039104 is an abundant number, since it is smaller than the sum of its proper divisors (2639602696).

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

1297039104 is a wasteful number, since it uses less digits than its factorization.

1297039104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29670 (or 29653 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1297039104 is about 36014.4291083449. The cubic root of 1297039104 is about 1090.5636632407.

The spelling of 1297039104 in words is "one billion, two hundred ninety-seven million, thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5472 7296 10944 14592 21888 29629 43776 59258 88887 118516 177774 237032 266661 355548 474064 533322 562951 711096 948128 1066644 1125902 1422192 1688853 1896256 2133288 2251804 2844384 3377706 3792512 4266576 4503608 5066559 5688768 6755412 7585024 8533152 9007216 10133118 11377536 13510824 17066304 18014432 20266236 22755072 27021648 34132608 36028864 40532472 54043296 68265216 72057728 81064944 108086592 144115456 162129888 216173184 324259776 432346368 648519552 1297039104