Search a number
-
+
77000132440 = 23571131806453
BaseRepresentation
bin100011110110110010…
…0001100011101011000
321100202021100000100001
41013231210030131120
52230144013214230
655212352022344
75364064220020
oct1075544143530
9240667300301
1077000132440
112a7236271a0
1212b0b2319b4
13735179895a
143a265a8a80
152009e540ca
hex11ed90c758

77000132440 has 128 divisors (see below), whose sum is σ = 222968401920. Its totient is φ = 23225817600.

The previous prime is 77000132423. The next prime is 77000132441. The reversal of 77000132440 is 4423100077.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 77000132399 and 77000132408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77000132441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307747 + ... + 498706.

It is an arithmetic number, because the mean of its divisors is an integer number (1741940640).

Almost surely, 277000132440 is an apocalyptic number.

77000132440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77000132440 is an abundant number, since it is smaller than the sum of its proper divisors (145968269480).

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

77000132440 is a wasteful number, since it uses less digits than its factorization.

77000132440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806513 (or 806509 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The spelling of 77000132440 in words is "seventy-seven billion, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 31 35 40 44 55 56 62 70 77 88 110 124 140 154 155 217 220 248 280 308 310 341 385 434 440 616 620 682 770 868 1085 1240 1364 1540 1705 1736 2170 2387 2728 3080 3410 4340 4774 6820 8680 9548 11935 13640 19096 23870 47740 95480 806453 1612906 3225812 4032265 5645171 6451624 8064530 8870983 11290342 16129060 17741966 22580684 25000043 28225855 32258120 35483932 44354915 45161368 50000086 56451710 62096881 70967864 88709830 100000172 112903420 124193762 125000215 175000301 177419660 200000344 225806840 248387524 250000430 275000473 310484405 350000602 354839320 496775048 500000860 550000946 620968810 700001204 875001505 1000001720 1100001892 1241937620 1375002365 1400002408 1750003010 1925003311 2200003784 2483875240 2750004730 3500006020 3850006622 5500009460 7000012040 7700013244 9625016555 11000018920 15400026488 19250033110 38500066220 77000132440