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2072011400 = 235261169837
BaseRepresentation
bin111101110000000…
…0110001010001000
312100101212002021222
41323200012022020
513220413331100
6541334221212
7102226543364
oct17340061210
95311762258
102072011400
11973661918
12499ab4808
1327036b564
141592822a4
15c1d89485
hex7b806288

2072011400 has 48 divisors (see below), whose sum is σ = 4896429540. Its totient is φ = 815212800.

The previous prime is 2072011399. The next prime is 2072011429. The reversal of 2072011400 is 41102702.

It can be written as a sum of positive squares in 6 ways, for example, as 79103236 + 1992908164 = 8894^2 + 44642^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72719 + ... + 97118.

Almost surely, 22072011400 is an apocalyptic number.

2072011400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2072011400 is an abundant number, since it is smaller than the sum of its proper divisors (2824418140).

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

2072011400 is a wasteful number, since it uses less digits than its factorization.

2072011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169914 (or 169905 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 2072011400 is about 45519.3519286029. The cubic root of 2072011400 is about 1274.8645556493.

The spelling of 2072011400 in words is "two billion, seventy-two million, eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 169837 339674 679348 849185 1358696 1698370 3396740 4245925 6793480 8491850 10360057 16983700 20720114 33967400 41440228 51800285 82880456 103600570 207201140 259001425 414402280 518002850 1036005700 2072011400