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154140672 = 220372
BaseRepresentation
bin10010011000000…
…00000000000000
3101202001011020210
421030000000000
5303430000142
623143434120
73551113500
oct1114000000
9352034223
10154140672
117a010194
1243755940
1325c1b7ca
1416685a00
15d7eb49c
hex9300000

154140672 has 126 divisors (see below), whose sum is σ = 478150428. Its totient is φ = 44040192.

The previous prime is 154140653. The next prime is 154140677. The reversal of 154140672 is 276041451.

It is a super-3 number, since 3×1541406723 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (154140677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22020093 + ... + 22020099.

Almost surely, 2154140672 is an apocalyptic number.

154140672 is a gapful number since it is divisible by the number (12) 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 154140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239075214).

154140672 is an abundant number, since it is smaller than the sum of its proper divisors (324009756).

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

154140672 is an frugal number, since it uses more digits than its factorization.

154140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 154140672 is about 12415.3401886537. The cubic root of 154140672 is about 536.1739986074.

The spelling of 154140672 in words is "one hundred fifty-four million, one hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2352 2688 3072 3136 3584 4096 4704 5376 6144 6272 7168 8192 9408 10752 12288 12544 14336 16384 18816 21504 24576 25088 28672 32768 37632 43008 49152 50176 57344 65536 75264 86016 98304 100352 114688 131072 150528 172032 196608 200704 229376 262144 301056 344064 393216 401408 458752 524288 602112 688128 786432 802816 917504 1048576 1204224 1376256 1572864 1605632 1835008 2408448 2752512 3145728 3211264 3670016 4816896 5505024 6422528 7340032 9633792 11010048 12845056 19267584 22020096 25690112 38535168 51380224 77070336 154140672