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55164340 = 225711113317
BaseRepresentation
bin1101001001101…
…1110110110100
310211210122020201
43102123312310
5103110224330
65250210244
71236613660
oct322336664
9124718221
1055164340
1129158870
1216583984
13b575c2a
14747d8a0
154c99eca
hex349bdb4

55164340 has 96 divisors (see below), whose sum is σ = 146168064. Its totient is φ = 16988160.

The previous prime is 55164331. The next prime is 55164359. The reversal of 55164340 is 4346155.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 55164299 and 55164308.

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, 173862 + ... + 174178.

It is an arithmetic number, because the mean of its divisors is an integer number (1522584).

Almost surely, 255164340 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 55164340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73084032).

55164340 is an abundant number, since it is smaller than the sum of its proper divisors (91003724).

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

55164340 is a wasteful number, since it uses less digits than its factorization.

55164340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 55164340 is about 7427.2700233666. The cubic root of 55164340 is about 380.6736435073.

The spelling of 55164340 in words is "fifty-five million, one hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 113 140 154 220 226 308 317 385 452 565 634 770 791 1130 1243 1268 1540 1582 1585 2219 2260 2486 3164 3170 3487 3955 4438 4972 6215 6340 6974 7910 8701 8876 11095 12430 13948 15820 17402 17435 22190 24409 24860 34804 34870 35821 43505 44380 48818 69740 71642 87010 97636 122045 143284 174020 179105 244090 250747 358210 394031 488180 501494 716420 788062 1002988 1253735 1576124 1970155 2507470 2758217 3940310 5014940 5516434 7880620 11032868 13791085 27582170 55164340