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897714480 = 243513222133
BaseRepresentation
bin110101100000100…
…000100100110000
32022120012121202110
4311200200210300
53314303330410
6225025045320
731150306245
oct6540404460
92276177673
10897714480
114208111a3
12210786840
13113ca6300
14873235cc
1553c29720
hex35820930

897714480 has 120 divisors (see below), whose sum is σ = 3013588368. Its totient is φ = 220965888.

The previous prime is 897714463. The next prime is 897714581. The reversal of 897714480 is 84417798.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29494 + ... + 51626.

Almost surely, 2897714480 is an apocalyptic number.

897714480 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 897714480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506794184).

897714480 is an abundant number, since it is smaller than the sum of its proper divisors (2115873888).

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

897714480 is a wasteful number, since it uses less digits than its factorization.

897714480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22175 (or 22156 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 897714480 is about 29961.8837859037. The cubic root of 897714480 is about 964.6714157765.

The spelling of 897714480 in words is "eight hundred ninety-seven million, seven hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 4056 5070 6760 8112 10140 13520 20280 22133 40560 44266 66399 88532 110665 132798 177064 221330 265596 287729 331995 354128 442660 531192 575458 663990 863187 885320 1062384 1150916 1327980 1438645 1726374 1770640 2301832 2655960 2877290 3452748 3740477 4315935 4603664 5311920 5754580 6905496 7480954 8631870 11221431 11509160 13810992 14961908 17263740 18702385 22442862 23018320 29923816 34527480 37404770 44885724 56107155 59847632 69054960 74809540 89771448 112214310 149619080 179542896 224428620 299238160 448857240 897714480