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133052700 = 2235211231753
BaseRepresentation
bin1111110111000…
…11100100011100
3100021100202222210
413323203210130
5233030141300
621111440420
73203633514
oct773434434
9307322883
10133052700
1169117510
1238686110
1321747111
1413956844
15ba33050
hex7ee391c

133052700 has 144 divisors (see below), whose sum is σ = 438471936. Its totient is φ = 30835200.

The previous prime is 133052683. The next prime is 133052719. The reversal of 133052700 is 7250331.

It is a happy number.

It is a congruent number.

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, 75024 + ... + 76776.

It is an arithmetic number, because the mean of its divisors is an integer number (3044944).

Almost surely, 2133052700 is an apocalyptic number.

133052700 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 133052700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219235968).

133052700 is an abundant number, since it is smaller than the sum of its proper divisors (305419236).

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

133052700 is a wasteful number, since it uses less digits than its factorization.

133052700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 133052700 is about 11534.8472031492. The cubic root of 133052700 is about 510.5142832225.

The spelling of 133052700 in words is "one hundred thirty-three million, fifty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 150 165 220 230 253 275 276 300 330 345 460 506 550 575 660 690 759 825 1012 1100 1150 1265 1380 1518 1650 1725 1753 2300 2530 3036 3300 3450 3506 3795 5060 5259 6325 6900 7012 7590 8765 10518 12650 15180 17530 18975 19283 21036 25300 26295 35060 37950 38566 40319 43825 52590 57849 75900 77132 80638 87650 96415 105180 115698 120957 131475 161276 175300 192830 201595 231396 241914 262950 289245 385660 403190 443509 482075 483828 525900 578490 604785 806380 887018 964150 1007975 1156980 1209570 1330527 1446225 1774036 1928300 2015950 2217545 2419140 2661054 2892450 3023925 4031900 4435090 5322108 5784900 6047850 6652635 8870180 11087725 12095700 13305270 22175450 26610540 33263175 44350900 66526350 133052700