Search a number
-
+
1052472300 = 2235211437417
BaseRepresentation
bin111110101110110…
…111001111101100
32201100102010120120
4332232313033230
54123413103200
6252234044540
735036603235
oct7656671754
92640363516
101052472300
114a0103020
12254579750
1313a07c999
149daca08c
15625e89a0
hex3ebb73ec

1052472300 has 144 divisors (see below), whose sum is σ = 3399699072. Its totient is φ = 249177600.

The previous prime is 1052472299. The next prime is 1052472313. The reversal of 1052472300 is 32742501.

It is a super-2 number, since 2×10524723002 = 2215395884534580000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138192 + ... + 145608.

Almost surely, 21052472300 is an apocalyptic number.

1052472300 is a gapful number since it is divisible by the number (10) 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 1052472300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699849536).

1052472300 is an abundant number, since it is smaller than the sum of its proper divisors (2347226772).

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

1052472300 is a wasteful number, since it uses less digits than its factorization.

1052472300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7488 (or 7481 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 1052472300 is about 32441.8294798552. The cubic root of 1052472300 is about 1017.1934574723.

The spelling of 1052472300 in words is "one billion, fifty-two million, four hundred seventy-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 43 44 50 55 60 66 75 86 100 110 129 132 150 165 172 215 220 258 275 300 330 430 473 516 550 645 660 825 860 946 1075 1100 1290 1419 1650 1892 2150 2365 2580 2838 3225 3300 4300 4730 5676 6450 7095 7417 9460 11825 12900 14190 14834 22251 23650 28380 29668 35475 37085 44502 47300 70950 74170 81587 89004 111255 141900 148340 163174 185425 222510 244761 318931 326348 370850 407935 445020 489522 556275 637862 741700 815870 956793 979044 1112550 1223805 1275724 1594655 1631740 1913586 2039675 2225100 2447610 3189310 3508241 3827172 4079350 4783965 4895220 6119025 6378620 7016482 7973275 8158700 9567930 10524723 12238050 14032964 15946550 17541205 19135860 21049446 23919825 24476100 31893100 35082410 42098892 47839650 52623615 70164820 87706025 95679300 105247230 175412050 210494460 263118075 350824100 526236150 1052472300