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974480 = 24513937
BaseRepresentation
bin11101101111010010000
31211111201212
43231322100
5222140410
632515252
711166023
oct3557220
91744655
10974480
11606161
123abb28
13281720
141b51ba
15143b05
hexede90

974480 has 40 divisors (see below), whose sum is σ = 2442552. Its totient is φ = 359424.

The previous prime is 974473. The next prime is 974489. The reversal of 974480 is 84479.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21904 + 952576 = 148^2 + 976^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×9744802 = 1899222540800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (974489) by changing a digit.

974480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572 + ... + 1508.

2974480 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 974480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221276).

974480 is an abundant number, since it is smaller than the sum of its proper divisors (1468072).

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

974480 is a wasteful number, since it uses less digits than its factorization.

974480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 974480 is about 987.1575355535. The cubic root of 974480 is about 99.1419926216.

The spelling of 974480 in words is "nine hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 937 1040 1874 3748 4685 7496 9370 12181 14992 18740 24362 37480 48724 60905 74960 97448 121810 194896 243620 487240 974480