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20095440 = 2435313773
BaseRepresentation
bin100110010101…
…0000111010000
31101210221202120
41030222013100
520121023230
61554414240
7332544201
oct114520720
941727676
1020095440
1110386002
126891380
1342179c1
1429515a8
151b6e310
hex132a1d0

20095440 has 160 divisors (see below), whose sum is σ = 66948096. Its totient is φ = 4976640.

The previous prime is 20095433. The next prime is 20095441. The reversal of 20095440 is 4459002.

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 20095440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20095441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275244 + ... + 275316.

Almost surely, 220095440 is an apocalyptic number.

20095440 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 20095440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33474048).

20095440 is an abundant number, since it is smaller than the sum of its proper divisors (46852656).

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

20095440 is a wasteful number, since it uses less digits than its factorization.

20095440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20095440 is about 4482.7937717455. The cubic root of 20095440 is about 271.8728500292.

The spelling of 20095440 in words is "twenty million, ninety-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 37 40 48 60 62 73 74 80 93 111 120 124 146 148 155 185 186 219 222 240 248 292 296 310 365 370 372 438 444 465 496 555 584 592 620 730 740 744 876 888 930 1095 1110 1147 1168 1240 1460 1480 1488 1752 1776 1860 2190 2220 2263 2294 2480 2701 2920 2960 3441 3504 3720 4380 4440 4526 4588 5402 5735 5840 6789 6882 7440 8103 8760 8880 9052 9176 10804 11315 11470 13505 13578 13764 16206 17205 17520 18104 18352 21608 22630 22940 27010 27156 27528 32412 33945 34410 36208 40515 43216 45260 45880 54020 54312 55056 64824 67890 68820 81030 83731 90520 91760 108040 108624 129648 135780 137640 162060 167462 181040 216080 251193 271560 275280 324120 334924 418655 502386 543120 648240 669848 837310 1004772 1255965 1339696 1674620 2009544 2511930 3349240 4019088 5023860 6698480 10047720 20095440