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2030150752 = 257223411373
BaseRepresentation
bin111100100000001…
…1010010001100000
312020111002100021121
41321000122101200
513124204311002
6533241102024
7101210665600
oct17100322140
95214070247
102030150752
11951a70343
12487a87914
132647a2b46
141538a6c00
15bd36b237
hex7901a460

2030150752 has 144 divisors (see below), whose sum is σ = 4973506272. Its totient is φ = 811345920.

The previous prime is 2030150747. The next prime is 2030150789. The reversal of 2030150752 is 2570510302.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1477938 + ... + 1479310.

It is an arithmetic number, because the mean of its divisors is an integer number (34538238).

Almost surely, 22030150752 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 2030150752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486753136).

2030150752 is an abundant number, since it is smaller than the sum of its proper divisors (2943355520).

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

2030150752 is a wasteful number, since it uses less digits than its factorization.

2030150752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 2030150752 is about 45057.1942313322. The cubic root of 2030150752 is about 1266.2207595115.

The spelling of 2030150752 in words is "two billion, thirty million, one hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 41 46 49 56 82 92 98 112 161 164 184 196 224 287 322 328 368 392 574 644 656 736 784 943 1127 1148 1288 1312 1373 1568 1886 2009 2254 2296 2576 2746 3772 4018 4508 4592 5152 5492 6601 7544 8036 9016 9184 9611 10984 13202 15088 16072 18032 19222 21968 26404 30176 31579 32144 36064 38444 43936 46207 52808 56293 63158 64288 67277 76888 92414 105616 112586 126316 134554 153776 184828 211232 221053 225172 252632 269108 307552 369656 394051 442106 450344 505264 538216 739312 788102 884212 900688 1010528 1076432 1294739 1478624 1547371 1576204 1768424 1801376 2152864 2589478 2758357 3094742 3152408 3536848 5178956 5516714 6189484 6304816 7073696 9063173 10357912 11033428 12378968 12609632 18126346 20715824 22066856 24757936 36252692 41431648 44133712 49515872 63442211 72505384 88267424 126884422 145010768 253768844 290021536 507537688 1015075376 2030150752