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152974000 = 245376487
BaseRepresentation
bin10010001111000…
…11001010110000
3101122211212212201
421013203022300
5303130132000
623102432544
73535154224
oct1107431260
9348755781
10152974000
11793936a3
1243292754
132590077a
1416460784
15d66a96a
hex91e32b0

152974000 has 40 divisors (see below), whose sum is σ = 369895968. Its totient is φ = 61188800.

The previous prime is 152973991. The next prime is 152974013. The reversal of 152974000 is 479251.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 152974000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36244 + ... + 40243.

Almost surely, 2152974000 is an apocalyptic number.

152974000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152974000 is an abundant number, since it is smaller than the sum of its proper divisors (216921968).

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

152974000 is an equidigital number, since it uses as much as digits as its factorization.

152974000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76510 (or 76494 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 152974000 is about 12368.2658444909. The cubic root of 152974000 is about 534.8178259997.

The spelling of 152974000 in words is "one hundred fifty-two million, nine hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 76487 152974 305948 382435 611896 764870 1223792 1529740 1912175 3059480 3824350 6118960 7648700 9560875 15297400 19121750 30594800 38243500 76487000 152974000