Search a number
-
+
402080070 = 235729103641
BaseRepresentation
bin10111111101110…
…100000101000110
31001000120210011110
4113331310011012
51310413030240
6103521545450
712651424050
oct2775640506
91030523143
10402080070
11196a66787
12b27a5286
13653bc302
143b5868d0
1525474c80
hex17f74146

402080070 has 128 divisors (see below), whose sum is σ = 1153751040. Its totient is φ = 87736320.

The previous prime is 402080069. The next prime is 402080083. The reversal of 402080070 is 70080204.

402080070 = 212 + 222 + ... + 10642.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 626950 + ... + 627590.

It is an arithmetic number, because the mean of its divisors is an integer number (9013680).

Almost surely, 2402080070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402080070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576875520).

402080070 is an abundant number, since it is smaller than the sum of its proper divisors (751670970).

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

402080070 is a wasteful number, since it uses less digits than its factorization.

402080070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790.

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

The square root of 402080070 is about 20051.9343206584. The cubic root of 402080070 is about 738.0812661591.

The spelling of 402080070 in words is "four hundred two million, eighty thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 103 105 145 174 203 206 210 290 309 406 435 515 609 618 641 721 870 1015 1030 1218 1282 1442 1545 1923 2030 2163 2987 3045 3090 3205 3605 3846 4326 4487 5974 6090 6410 7210 8961 8974 9615 10815 13461 14935 17922 18589 19230 20909 21630 22435 26922 29870 37178 41818 44805 44870 55767 62727 66023 67305 89610 92945 104545 111534 125454 130123 132046 134610 185890 198069 209090 260246 278835 313635 330115 390369 396138 462161 557670 627270 650615 660230 780738 924322 990345 1301230 1386483 1914667 1951845 1980690 2310805 2772966 3829334 3903690 4621610 5744001 6932415 9573335 11488002 13402669 13864830 19146670 26805338 28720005 40208007 57440010 67013345 80416014 134026690 201040035 402080070