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2073057504 = 25372736037
BaseRepresentation
bin111101110010000…
…0101100011100000
312100110211020021120
41323210011203200
513221200320004
6541412452240
7102241461300
oct17344054340
95313736246
102073057504
11974206871
1249a31a080
1327064675b
14159475600
15c1ee43d9
hex7b9058e0

2073057504 has 144 divisors (see below), whose sum is σ = 6418007568. Its totient is φ = 584091648.

The previous prime is 2073057479. The next prime is 2073057527. The reversal of 2073057504 is 4057503702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340374 + ... + 346410.

It is an arithmetic number, because the mean of its divisors is an integer number (44569497).

Almost surely, 22073057504 is an apocalyptic number.

2073057504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2073057504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209003784).

2073057504 is an abundant number, since it is smaller than the sum of its proper divisors (4344950064).

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

2073057504 is a wasteful number, since it uses less digits than its factorization.

2073057504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6137 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 2073057504 is about 45530.8412397575. The cubic root of 2073057504 is about 1275.0790680685.

The spelling of 2073057504 in words is "two billion, seventy-three million, fifty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 73 84 96 98 112 146 147 168 196 219 224 292 294 336 392 438 511 584 588 672 784 876 1022 1168 1176 1533 1568 1752 2044 2336 2352 3066 3504 3577 4088 4704 6037 6132 7008 7154 8176 10731 12074 12264 14308 16352 18111 21462 24148 24528 28616 36222 42259 42924 48296 49056 57232 72444 84518 85848 96592 114464 126777 144888 169036 171696 193184 253554 289776 295813 338072 343392 440701 507108 579552 591626 676144 881402 887439 1014216 1183252 1322103 1352288 1762804 1774878 2028432 2366504 2644206 3084907 3525608 3549756 4056864 4733008 5288412 6169814 7051216 7099512 9254721 9466016 10576824 12339628 14102432 14199024 18509442 21153648 21594349 24679256 28398048 37018884 42307296 43188698 49358512 64783047 74037768 86377396 98717024 129566094 148075536 172754792 259132188 296151072 345509584 518264376 691019168 1036528752 2073057504