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1297049920 = 26531532467
BaseRepresentation
bin100110101001111…
…0110100101000000
310100101121221222221
41031103312211000
510124021044140
6332412140424
744066512435
oct11523664500
93311557887
101297049920
11606172891
12302467714
1317894427a
14c4393b8c
1578d0b14a
hex4d4f6940

1297049920 has 112 divisors (see below), whose sum is σ = 3249704448. Its totient is φ = 492410880.

The previous prime is 1297049909. The next prime is 1297049921. The reversal of 1297049920 is 299407921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1297049921) 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, 524527 + ... + 526993.

Almost surely, 21297049920 is an apocalyptic number.

1297049920 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 1297049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624852224).

1297049920 is an abundant number, since it is smaller than the sum of its proper divisors (1952654528).

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

1297049920 is a wasteful number, since it uses less digits than its factorization.

1297049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 1297049920 is about 36014.5792700678. The cubic root of 1297049920 is about 1090.5666946332.

The spelling of 1297049920 in words is "one billion, two hundred ninety-seven million, forty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 53 62 64 80 106 124 155 160 212 248 265 310 320 424 496 530 620 848 992 1060 1240 1643 1696 1984 2120 2467 2480 3286 3392 4240 4934 4960 6572 8215 8480 9868 9920 12335 13144 16430 16960 19736 24670 26288 32860 39472 49340 52576 65720 76477 78944 98680 105152 130751 131440 152954 157888 197360 261502 262880 305908 382385 394720 523004 525760 611816 653755 764770 789440 1046008 1223632 1307510 1529540 2092016 2447264 2615020 3059080 4053281 4184032 4894528 5230040 6118160 8106562 8368064 10460080 12236320 16213124 20266405 20920160 24472640 32426248 40532810 41840320 64852496 81065620 129704992 162131240 259409984 324262480 648524960 1297049920