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2073375540 = 2232579145807
BaseRepresentation
bin111101110010101…
…0011001100110100
312100111102101112200
41323211103030310
513221241004130
6541423344500
7102244254435
oct17345231464
95314371480
102073375540
11974403805
1249a452130
13270728442
1415951948c
15c2058760
hex7b953334

2073375540 has 72 divisors (see below), whose sum is σ = 6368893440. Its totient is φ = 545897664.

The previous prime is 2073375533. The next prime is 2073375541. The reversal of 2073375540 is 455733702.

2073375540 is a `hidden beast` number, since 2 + 0 + 73 + 37 + 554 + 0 = 666.

It is a super-2 number, since 2×20733755402 = 8597772259740583200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2073375495 and 2073375504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2073375541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58684 + ... + 87123.

Almost surely, 22073375540 is an apocalyptic number.

2073375540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2073375540 is an abundant number, since it is smaller than the sum of its proper divisors (4295517900).

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

2073375540 is a wasteful number, since it uses less digits than its factorization.

2073375540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145901 (or 145896 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 2073375540 is about 45534.3336395736. Note that the first 3 decimals coincide. The cubic root of 2073375540 is about 1275.1442697187.

The spelling of 2073375540 in words is "two billion, seventy-three million, three hundred seventy-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1580 2370 2844 3555 4740 7110 14220 145807 291614 437421 583228 729035 874842 1312263 1458070 1749684 2187105 2624526 2916140 4374210 5249052 6561315 8748420 11518753 13122630 23037506 26245260 34556259 46075012 57593765 69112518 103668777 115187530 138225036 172781295 207337554 230375060 345562590 414675108 518343885 691125180 1036687770 2073375540