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149710000 = 2454111361
BaseRepresentation
bin10001110110001…
…10010010110000
3101102201001111211
420323012102300
5301311210000
622504445504
73465341206
oct1073062260
9342631454
10149710000
1177564380
1242179894
1325029bcb
1415c51076
15d2237ba
hex8ec64b0

149710000 has 100 divisors (see below), whose sum is σ = 395704584. Its totient is φ = 54400000.

The previous prime is 149709997. The next prime is 149710021. The reversal of 149710000 is 17941.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109320 + ... + 110680.

Almost surely, 2149710000 is an apocalyptic number.

149710000 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 149710000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197852292).

149710000 is an abundant number, since it is smaller than the sum of its proper divisors (245994584).

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

149710000 is a wasteful number, since it uses less digits than its factorization.

With its successor (149710001) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1400).

149710000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 149710000 is about 12235.6037856740. The cubic root of 149710000 is about 530.9866514827.

Adding to 149710000 its reverse (17941), we get a palindrome (149727941).

The spelling of 149710000 in words is "one hundred forty-nine million, seven hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1361 1375 2000 2200 2500 2722 2750 4400 5000 5444 5500 6805 6875 10000 10888 11000 13610 13750 14971 21776 22000 27220 27500 29942 34025 54440 55000 59884 68050 74855 108880 110000 119768 136100 149710 170125 239536 272200 299420 340250 374275 544400 598840 680500 748550 850625 1197680 1361000 1497100 1701250 1871375 2722000 2994200 3402500 3742750 5988400 6805000 7485500 9356875 13610000 14971000 18713750 29942000 37427500 74855000 149710000