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1070042616 = 233323435009
BaseRepresentation
bin111111110001111…
…000110111111000
32202120110210112000
4333301320313320
54142412330431
6254102421000
735342132526
oct7761706770
92676423460
101070042616
114aa013945
1225a431760
131408c2216
14a2181316
1563e199e6
hex3fc78df8

1070042616 has 128 divisors (see below), whose sum is σ = 3174336000. Its totient is φ = 333172224.

The previous prime is 1070042591. The next prime is 1070042629. The reversal of 1070042616 is 6162400701.

1070042616 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 0 + 42 + 616 = 666.

It is a super-2 number, since 2×10700426162 = 2289982400112246912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1070042616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211120 + ... + 216128.

It is an arithmetic number, because the mean of its divisors is an integer number (24799500).

Almost surely, 21070042616 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 1070042616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587168000).

1070042616 is an abundant number, since it is smaller than the sum of its proper divisors (2104293384).

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

1070042616 is a wasteful number, since it uses less digits than its factorization.

1070042616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5090 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1070042616 is about 32711.5058656736. The cubic root of 1070042616 is about 1022.8227004160.

The spelling of 1070042616 in words is "one billion, seventy million, forty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 43 46 54 69 72 86 92 108 129 138 172 184 207 216 258 276 344 387 414 516 552 621 774 828 989 1032 1161 1242 1548 1656 1978 2322 2484 2967 3096 3956 4644 4968 5009 5934 7912 8901 9288 10018 11868 15027 17802 20036 23736 26703 30054 35604 40072 45081 53406 60108 71208 90162 106812 115207 120216 135243 180324 213624 215387 230414 270486 345621 360648 430774 460828 540972 646161 691242 861548 921656 1036863 1081944 1292322 1382484 1723096 1938483 2073726 2584644 2764968 3110589 3876966 4147452 4953901 5169288 5815449 6221178 7753932 8294904 9907802 11630898 12442356 14861703 15507864 19815604 23261796 24884712 29723406 39631208 44585109 46523592 59446812 89170218 118893624 133755327 178340436 267510654 356680872 535021308 1070042616