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897153920 = 27513176343
BaseRepresentation
bin110101011110010…
…111101110000000
32022112011010210222
4311132113232000
53314132411140
6225005042212
731142453045
oct6536275600
92275133728
10897153920
11420469023
12210556368
13113b3b110
14872191cc
1553b685b5
hex35797b80

897153920 has 128 divisors (see below), whose sum is σ = 2445992640. Its totient is φ = 311721984.

The previous prime is 897153899. The next prime is 897153973. The reversal of 897153920 is 29351798.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 138269 + ... + 144611.

Almost surely, 2897153920 is an apocalyptic number.

897153920 is a gapful number since it is divisible by the number (80) 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 897153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222996320).

897153920 is an abundant number, since it is smaller than the sum of its proper divisors (1548838720).

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

897153920 is a wasteful number, since it uses less digits than its factorization.

897153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The square root of 897153920 is about 29952.5277731279. The cubic root of 897153920 is about 964.4705839921.

The spelling of 897153920 in words is "eight hundred ninety-seven million, one hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 128 130 136 160 170 208 221 260 272 320 340 416 442 520 544 640 680 832 884 1040 1088 1105 1360 1664 1768 2080 2176 2210 2720 3536 4160 4420 5440 6343 7072 8320 8840 10880 12686 14144 17680 25372 28288 31715 35360 50744 63430 70720 82459 101488 107831 126860 141440 164918 202976 215662 253720 329836 405952 412295 431324 507440 539155 659672 811904 824590 862648 1014880 1078310 1319344 1401803 1649180 1725296 2029760 2156620 2638688 2803606 3298360 3450592 4059520 4313240 5277376 5607212 6596720 6901184 7009015 8626480 10554752 11214424 13193440 13802368 14018030 17252960 22428848 26386880 28036060 34505920 44857696 52773760 56072120 69011840 89715392 112144240 179430784 224288480 448576960 897153920