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2157948 = 2233132953
BaseRepresentation
bin1000001110110101111100
311001122011000
420032311330
51023023243
6114130300
724225252
oct10166574
94048130
102157948
111244331
12880990
135a72c0
144025d2
152c95d3
hex20ed7c

2157948 has 96 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 628992.

The previous prime is 2157923. The next prime is 2157989. The reversal of 2157948 is 8497512.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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, 40690 + ... + 40742.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

22157948 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 2157948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2157948 is an abundant number, since it is smaller than the sum of its proper divisors (4192452).

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

2157948 is a wasteful number, since it uses less digits than its factorization.

2157948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 2157948 is about 1468.9955752146. The cubic root of 2157948 is about 129.2251341734.

The spelling of 2157948 in words is "two million, one hundred fifty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 53 54 58 78 87 106 108 116 117 156 159 174 212 234 261 318 348 351 377 468 477 522 636 689 702 754 783 954 1044 1131 1378 1404 1431 1508 1537 1566 1908 2067 2262 2756 2862 3074 3132 3393 4134 4524 4611 5724 6148 6201 6786 8268 9222 10179 12402 13572 13833 18444 18603 19981 20358 24804 27666 37206 39962 40716 41499 55332 59943 74412 79924 82998 119886 165996 179829 239772 359658 539487 719316 1078974 2157948