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16970040 = 2333519827
BaseRepresentation
bin100000010111…
…1000100111000
31011221011112000
41000233010320
513321020130
61403421000
7264146223
oct100570470
934834460
1016970040
11964092a
125824760
133692259
14237a5ba
151753260
hex102f138

16970040 has 128 divisors (see below), whose sum is σ = 59616000. Its totient is φ = 4281984.

The previous prime is 16970033. The next prime is 16970099. The reversal of 16970040 is 4007961.

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

It is a junction number, because it is equal to n+sod(n) for n = 16969986 and 16970013.

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, 20107 + ... + 20933.

It is an arithmetic number, because the mean of its divisors is an integer number (465750).

Almost surely, 216970040 is an apocalyptic number.

16970040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16970040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29808000).

16970040 is an abundant number, since it is smaller than the sum of its proper divisors (42645960).

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

16970040 is a wasteful number, since it uses less digits than its factorization.

16970040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 16970040 is about 4119.4708398045. The cubic root of 16970040 is about 256.9770200551.

The spelling of 16970040 in words is "sixteen million, nine hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 827 855 1026 1080 1140 1368 1654 1710 2052 2280 2481 2565 3308 3420 4104 4135 4962 5130 6616 6840 7443 8270 9924 10260 12405 14886 15713 16540 19848 20520 22329 24810 29772 31426 33080 37215 44658 47139 49620 59544 62852 74430 78565 89316 94278 99240 111645 125704 141417 148860 157130 178632 188556 223290 235695 282834 297720 314260 377112 424251 446580 471390 565668 628520 707085 848502 893160 942780 1131336 1414170 1697004 1885560 2121255 2828340 3394008 4242510 5656680 8485020 16970040