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61940424 = 23371379359
BaseRepresentation
bin1110110001001…
…0001011001000
311022112220021210
43230102023020
5111324043144
610051333120
71351325220
oct354221310
9138486253
1061940424
1131a66837
12188b11a0
13caa9250
148325080
155687ab9
hex3b122c8

61940424 has 128 divisors (see below), whose sum is σ = 193536000. Its totient is φ = 16084224.

The previous prime is 61940419. The next prime is 61940453. The reversal of 61940424 is 42404916.

It is a super-2 number, since 2×619404242 = 7673232250599552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61940391 and 61940400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172357 + ... + 172715.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 261940424 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 61940424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

61940424 is an abundant number, since it is smaller than the sum of its proper divisors (131595576).

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

61940424 is a wasteful number, since it uses less digits than its factorization.

61940424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 61940424 is about 7870.2238849984. The cubic root of 61940424 is about 395.6623486474.

The spelling of 61940424 in words is "sixty-one million, nine hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 79 84 91 104 156 158 168 182 237 273 312 316 359 364 474 546 553 632 718 728 948 1027 1077 1092 1106 1436 1659 1896 2054 2154 2184 2212 2513 2872 3081 3318 4108 4308 4424 4667 5026 6162 6636 7189 7539 8216 8616 9334 10052 12324 13272 14001 14378 15078 18668 20104 21567 24648 28002 28361 28756 30156 32669 37336 43134 56004 56722 57512 60312 65338 85083 86268 98007 112008 113444 130676 170166 172536 196014 198527 226888 261352 340332 368693 392028 397054 595581 680664 737386 784056 794108 1106079 1191162 1474772 1588216 2212158 2382324 2580851 2949544 4424316 4764648 5161702 7742553 8848632 10323404 15485106 20646808 30970212 61940424