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20067320 = 23571337149
BaseRepresentation
bin100110010001…
…1001111111000
31101202112012002
41030203033320
520114123240
61554040132
7332366210
oct114431770
941675162
1020067320
1110366969
126879048
134207c70
142945240
151b65d15
hex13233f8

20067320 has 128 divisors (see below), whose sum is σ = 57456000. Its totient is φ = 6137856.

The previous prime is 20067319. The next prime is 20067367. The reversal of 20067320 is 2376002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20067292 and 20067301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134606 + ... + 134754.

It is an arithmetic number, because the mean of its divisors is an integer number (448875).

Almost surely, 220067320 is an apocalyptic number.

20067320 is a gapful number since it is divisible by the number (20) 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 20067320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28728000).

20067320 is an abundant number, since it is smaller than the sum of its proper divisors (37388680).

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

20067320 is a wasteful number, since it uses less digits than its factorization.

20067320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 20067320 is about 4479.6562368110. The cubic root of 20067320 is about 271.7459782400.

The spelling of 20067320 in words is "twenty million, sixty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 37 40 52 56 65 70 74 91 104 130 140 148 149 182 185 259 260 280 296 298 364 370 455 481 518 520 596 728 740 745 910 962 1036 1043 1192 1295 1480 1490 1820 1924 1937 2072 2086 2405 2590 2980 3367 3640 3848 3874 4172 4810 5180 5215 5513 5960 6734 7748 8344 9620 9685 10360 10430 11026 13468 13559 15496 16835 19240 19370 20860 22052 26936 27118 27565 33670 38591 38740 41720 44104 54236 55130 67340 67795 71669 77182 77480 108472 110260 134680 135590 143338 154364 192955 220520 271180 286676 308728 358345 385910 501683 542360 573352 716690 771820 1003366 1433380 1543640 2006732 2508415 2866760 4013464 5016830 10033660 20067320