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95052720 = 24357291951
BaseRepresentation
bin1011010101001…
…10001110110000
320121212011211010
411222212032300
5143313141340
613233150520
72232635430
oct552461660
9217764733
1095052720
1149722574
12279bb440
1316900a19
14c8a42c0
158528b80
hex5aa63b0

95052720 has 160 divisors (see below), whose sum is σ = 348549120. Its totient is φ = 20966400.

The previous prime is 95052707. The next prime is 95052739. The reversal of 95052720 is 2725059.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 47745 + ... + 49695.

It is an arithmetic number, because the mean of its divisors is an integer number (2178432).

Almost surely, 295052720 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 95052720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174274560).

95052720 is an abundant number, since it is smaller than the sum of its proper divisors (253496400).

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

95052720 is a wasteful number, since it uses less digits than its factorization.

95052720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 95052720 is about 9749.4984486383. The cubic root of 95052720 is about 456.3746536236.

Adding to 95052720 its reverse (2725059), we get a palindrome (97777779).

The spelling of 95052720 in words is "ninety-five million, fifty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 1951 2030 2320 2436 3045 3248 3480 3902 4060 4872 5853 6090 6960 7804 8120 9744 9755 11706 12180 13657 15608 16240 19510 23412 24360 27314 29265 31216 39020 40971 46824 48720 54628 56579 58530 68285 78040 81942 93648 109256 113158 117060 136570 156080 163884 169737 204855 218512 226316 234120 273140 282895 327768 339474 396053 409710 452632 468240 546280 565790 655536 678948 792106 819420 848685 905264 1092560 1131580 1188159 1357896 1584212 1638840 1697370 1980265 2263160 2376318 2715792 3168424 3277680 3394740 3960530 4526320 4752636 5940795 6336848 6789480 7921060 9505272 11881590 13578960 15842120 19010544 23763180 31684240 47526360 95052720