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30754100 = 22521341577
BaseRepresentation
bin111010101010…
…0010100110100
32010212110200202
41311110110310
530333112400
63015100032
7522256046
oct165242464
963773622
1030754100
11163a6013
12a371618
1364aa2c0
144127a96
152a774d5
hex1d54534

30754100 has 72 divisors (see below), whose sum is σ = 73750488. Its totient is φ = 11059200.

The previous prime is 30754099. The next prime is 30754111. The reversal of 30754100 is 145703.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 11587216 + 19166884 = 3404^2 + 4378^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 53012 + ... + 53588.

Almost surely, 230754100 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 30754100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36875244).

30754100 is an abundant number, since it is smaller than the sum of its proper divisors (42996388).

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

30754100 is a wasteful number, since it uses less digits than its factorization.

30754100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 30754100 is about 5545.6379254329. The cubic root of 30754100 is about 313.3052512431.

Adding to 30754100 its reverse (145703), we get a palindrome (30899803).

The spelling of 30754100 in words is "thirty million, seven hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 260 325 410 533 577 650 820 1025 1066 1154 1300 2050 2132 2308 2665 2885 4100 5330 5770 7501 10660 11540 13325 14425 15002 23657 26650 28850 30004 37505 47314 53300 57700 75010 94628 118285 150020 187525 236570 307541 375050 473140 591425 615082 750100 1182850 1230164 1537705 2365700 3075410 6150820 7688525 15377050 30754100