Search a number
-
+
149623800 = 233521714669
BaseRepresentation
bin10001110101100…
…01001111111000
3101102112200021020
420322301033320
5301300430200
622502542440
73464531664
oct1072611770
9342480236
10149623800
1177505637
1242137a20
1324cc98c1
1415c2b8a4
15d207ea0
hex8eb13f8

149623800 has 96 divisors (see below), whose sum is σ = 491151600. Its totient is φ = 37550080.

The previous prime is 149623787. The next prime is 149623807. The reversal of 149623800 is 8326941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149623807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2866 + ... + 17534.

Almost surely, 2149623800 is an apocalyptic number.

149623800 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 149623800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245575800).

149623800 is an abundant number, since it is smaller than the sum of its proper divisors (341527800).

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

149623800 is a wasteful number, since it uses less digits than its factorization.

149623800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14705 (or 14696 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 149623800 is about 12232.0807714796. The cubic root of 149623800 is about 530.8847214472.

The spelling of 149623800 in words is "one hundred forty-nine million, six hundred twenty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 14669 29338 44007 58676 73345 88014 117352 146690 176028 220035 249373 293380 352056 366725 440070 498746 586760 733450 748119 880140 997492 1100175 1246865 1466900 1496238 1760280 1994984 2200350 2493730 2933800 2992476 3740595 4400700 4987460 5984952 6234325 7481190 8801400 9974920 12468650 14962380 18702975 24937300 29924760 37405950 49874600 74811900 149623800