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70428000 = 253535869
BaseRepresentation
bin1000011001010…
…10010101100000
311220112010001110
410030222111200
5121012144000
610553303320
71513425306
oct414522540
9156463043
1070428000
1136833665
121b704b40
131178b596
1494d4276
1562b2850
hex432a560

70428000 has 96 divisors (see below), whose sum is σ = 230761440. Its totient is φ = 18777600.

The previous prime is 70427999. The next prime is 70428011. The reversal of 70428000 is 82407.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 9066 + ... + 14934.

It is an arithmetic number, because the mean of its divisors is an integer number (2403765).

Almost surely, 270428000 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 70428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115380720).

70428000 is an abundant number, since it is smaller than the sum of its proper divisors (160333440).

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

70428000 is a wasteful number, since it uses less digits than its factorization.

70428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 70428000 is about 8392.1391790175. The cubic root of 70428000 is about 412.9667810540.

The spelling of 70428000 in words is "seventy million, four hundred twenty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 5869 6000 11738 12000 17607 23476 29345 35214 46952 58690 70428 88035 93904 117380 140856 146725 176070 187808 234760 281712 293450 352140 440175 469520 563424 586900 704280 733625 880350 939040 1173800 1408560 1467250 1760700 2200875 2347600 2817120 2934500 3521400 4401750 4695200 5869000 7042800 8803500 11738000 14085600 17607000 23476000 35214000 70428000