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170138640 = 24357101273
BaseRepresentation
bin10100010010000…
…01110000010000
3102212010221100010
422021001300100
5322023414030
624514354520
74134104010
oct1211016020
9385127303
10170138640
1188047751
1248b8ba40
1329330469
141884bc40
15ee0b6b0
hexa241c10

170138640 has 80 divisors (see below), whose sum is σ = 602782848. Its totient is φ = 38888448.

The previous prime is 170138627. The next prime is 170138653. The reversal of 170138640 is 46831071.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (170138627) and next prime (170138653).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 170138598 and 170138607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48957 + ... + 52316.

Almost surely, 2170138640 is an apocalyptic number.

170138640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

170138640 is an abundant number, since it is smaller than the sum of its proper divisors (432644208).

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

170138640 is a wasteful number, since it uses less digits than its factorization.

170138640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101296 (or 101290 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 170138640 is about 13043.7203281886. The cubic root of 170138640 is about 554.1163765646.

The spelling of 170138640 in words is "one hundred seventy million, one hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 101273 202546 303819 405092 506365 607638 708911 810184 1012730 1215276 1417822 1519095 1620368 2025460 2126733 2430552 2835644 3038190 3544555 4050920 4253466 4861104 5671288 6076380 7089110 8101840 8506932 10633665 11342576 12152760 14178220 17013864 21267330 24305520 28356440 34027728 42534660 56712880 85069320 170138640