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2100715248 = 24331245541
BaseRepresentation
bin111110100110110…
…0101111011110000
312102101212101120110
41331031211323300
513300240341443
6544241341320
7103025533152
oct17515457360
95371771513
102100715248
11988887505
124a7637840
132762ab598
1415cdd4ad2
15c4659233
hex7d365ef0

2100715248 has 60 divisors (see below), whose sum is σ = 5607677544. Its totient is φ = 677635200.

The previous prime is 2100715247. The next prime is 2100715273. The reversal of 2100715248 is 8425170012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100715247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23358 + ... + 68898.

Almost surely, 22100715248 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 2100715248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803838772).

2100715248 is an abundant number, since it is smaller than the sum of its proper divisors (3506962296).

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

2100715248 is a wasteful number, since it uses less digits than its factorization.

2100715248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45614 (or 45577 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 2100715248 is about 45833.5602806502. The cubic root of 2100715248 is about 1280.7245344667.

The spelling of 2100715248 in words is "two billion, one hundred million, seven hundred fifteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 961 1488 1922 2883 3844 5766 7688 11532 15376 23064 45541 46128 91082 136623 182164 273246 364328 546492 728656 1092984 1411771 2185968 2823542 4235313 5647084 8470626 11294168 16941252 22588336 33882504 43764901 67765008 87529802 131294703 175059604 262589406 350119208 525178812 700238416 1050357624 2100715248