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1374080 = 27519113
BaseRepresentation
bin101001111011110000000
32120210212212
411033132000
5322432310
645241252
714452031
oct5173600
92523785
101374080
11859404
12563228
13391586
1427aa88
151c2205
hex14f780

1374080 has 64 divisors (see below), whose sum is σ = 3488400. Its totient is φ = 516096.

The previous prime is 1374077. The next prime is 1374083. The reversal of 1374080 is 804731.

1374080 = T96 + T97 + ... + T208.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1374077) and next prime (1374083).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12104 + ... + 12216.

21374080 is an apocalyptic number.

1374080 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 1374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744200).

1374080 is an abundant number, since it is smaller than the sum of its proper divisors (2114320).

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

1374080 is a wasteful number, since it uses less digits than its factorization.

1374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 1374080 is about 1172.2115849965. The cubic root of 1374080 is about 111.1741982474.

The spelling of 1374080 in words is "one million, three hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 113 128 152 160 190 226 304 320 380 452 565 608 640 760 904 1130 1216 1520 1808 2147 2260 2432 3040 3616 4294 4520 6080 7232 8588 9040 10735 12160 14464 17176 18080 21470 34352 36160 42940 68704 72320 85880 137408 171760 274816 343520 687040 1374080