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16742040 = 23357191049
BaseRepresentation
bin111111110111…
…011010011000
31011111120202120
4333313122120
513241221130
61354501240
7262206420
oct77673230
934446676
1016742040
1194a55a7
125734820
133612543
14231b480
15170a910
hexff7698

16742040 has 128 divisors (see below), whose sum is σ = 60480000. Its totient is φ = 3621888.

The previous prime is 16742023. The next prime is 16742051. The reversal of 16742040 is 4024761.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 16742040.

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, 15436 + ... + 16484.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 216742040 is an apocalyptic number.

16742040 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 16742040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240000).

16742040 is an abundant number, since it is smaller than the sum of its proper divisors (43737960).

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

16742040 is a wasteful number, since it uses less digits than its factorization.

16742040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 16742040 is about 4091.7038015966. The cubic root of 16742040 is about 255.8209604257.

The spelling of 16742040 in words is "sixteen million, seven hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1049 1064 1140 1330 1596 1995 2098 2280 2660 3147 3192 3990 4196 5245 5320 6294 7343 7980 8392 10490 12588 14686 15735 15960 19931 20980 22029 25176 29372 31470 36715 39862 41960 44058 58744 59793 62940 73430 79724 88116 99655 110145 119586 125880 139517 146860 159448 176232 199310 220290 239172 279034 293720 298965 398620 418551 440580 478344 558068 597930 697585 797240 837102 881160 1116136 1195860 1395170 1674204 2092755 2391720 2790340 3348408 4185510 5580680 8371020 16742040