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5370948 = 2234112137
BaseRepresentation
bin10100011111010001000100
3101002212120000
4110133101010
52333332243
6311041300
763436512
oct24372104
911085500
105370948
113039300
121970230
13116089b
149db4b2
157115d3
hex51f444

5370948 has 90 divisors (see below), whose sum is σ = 15545838. Its totient is φ = 1615680.

The previous prime is 5370941. The next prime is 5370961. The reversal of 5370948 is 8490735.

It can be written as a sum of positive squares in only one way, i.e., 4743684 + 627264 = 2178^2 + 792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5370941) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 39136 + ... + 39272.

Almost surely, 25370948 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 5370948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772919).

5370948 is an abundant number, since it is smaller than the sum of its proper divisors (10174890).

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

5370948 is a wasteful number, since it uses less digits than its factorization.

5370948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5370948 is about 2317.5305823225. The cubic root of 5370948 is about 175.1258740654.

The spelling of 5370948 in words is "five million, three hundred seventy thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 137 162 198 242 274 297 324 363 396 411 484 548 594 726 822 891 1089 1188 1233 1452 1507 1644 1782 2178 2466 3014 3267 3564 3699 4356 4521 4932 6028 6534 7398 9042 9801 11097 13068 13563 14796 16577 18084 19602 22194 27126 33154 39204 40689 44388 49731 54252 66308 81378 99462 122067 149193 162756 198924 244134 298386 447579 488268 596772 895158 1342737 1790316 2685474 5370948