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1142378700 = 2235237971061
BaseRepresentation
bin100010000010111…
…0101000011001100
32221121120211222020
41010011311003030
54314422104300
6305205050140
740211026101
oct10405650314
92847524866
101142378700
11536930031
1227a6b6950
1315289b138
14aba10aa8
156a4578a0
hex441750cc

1142378700 has 144 divisors (see below), whose sum is σ = 3432842784. Its totient is φ = 293068800.

The previous prime is 1142378693. The next prime is 1142378707. The reversal of 1142378700 is 78732411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1142378693) and next prime (1142378707).

It is not an unprimeable number, because it can be changed into a prime (1142378707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076170 + ... + 1077230.

It is an arithmetic number, because the mean of its divisors is an integer number (23839186).

Almost surely, 21142378700 is an apocalyptic number.

1142378700 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 1142378700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716421392).

1142378700 is an abundant number, since it is smaller than the sum of its proper divisors (2290464084).

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

1142378700 is a wasteful number, since it uses less digits than its factorization.

1142378700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1142378700 is about 33799.0931831018. The cubic root of 1142378700 is about 1045.3699993954.

The spelling of 1142378700 in words is "one billion, one hundred forty-two million, three hundred seventy-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 97 100 111 148 150 185 194 222 291 300 370 388 444 485 555 582 740 925 970 1061 1110 1164 1455 1850 1940 2122 2220 2425 2775 2910 3183 3589 3700 4244 4850 5305 5550 5820 6366 7178 7275 9700 10610 10767 11100 12732 14356 14550 15915 17945 21220 21534 26525 29100 31830 35890 39257 43068 53050 53835 63660 71780 78514 79575 89725 102917 106100 107670 117771 157028 159150 179450 196285 205834 215340 235542 269175 308751 318300 358900 392570 411668 471084 514585 538350 588855 617502 785140 981425 1029170 1076700 1177710 1235004 1543755 1962850 2058340 2355420 2572925 2944275 3087510 3807929 3925700 5145850 5888550 6175020 7615858 7718775 10291700 11423787 11777100 15231716 15437550 19039645 22847574 30875100 38079290 45695148 57118935 76158580 95198225 114237870 190396450 228475740 285594675 380792900 571189350 1142378700