Search a number
-
+
70473128 = 231119113373
BaseRepresentation
bin1000011001101…
…01010110101000
311220121101221212
410030311112220
5121020120003
610554252252
71514004005
oct414652650
9156541855
1070473128
1136864560
121b727088
13117a5c9b
1495068ac
1562c0dd8
hex43355a8

70473128 has 64 divisors (see below), whose sum is σ = 153489600. Its totient is φ = 29998080.

The previous prime is 70473121. The next prime is 70473133. The reversal of 70473128 is 82137407.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 70473094 and 70473103.

It is not an unprimeable number, because it can be changed into a prime (70473121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188750 + ... + 189122.

It is an arithmetic number, because the mean of its divisors is an integer number (2398275).

Almost surely, 270473128 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 70473128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76744800).

70473128 is an abundant number, since it is smaller than the sum of its proper divisors (83016472).

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

70473128 is a wasteful number, since it uses less digits than its factorization.

70473128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 70473128 is about 8394.8274550464. The cubic root of 70473128 is about 413.0549675034.

The spelling of 70473128 in words is "seventy million, four hundred seventy-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 113 152 209 226 373 418 452 746 836 904 1243 1492 1672 2147 2486 2984 4103 4294 4972 7087 8206 8588 9944 14174 16412 17176 23617 28348 32824 42149 47234 56696 77957 84298 94468 155914 168596 188936 311828 337192 463639 623656 800831 927278 1601662 1854556 3203324 3709112 6406648 8809141 17618282 35236564 70473128